## How do you answer a solution set?

To find the solution set from the replacement set, **plug in each value from the replacement set and evaluate both sides of the equation**. If the two sides are equal, the equation is true and thus the value is a solution. Example 1: Find the solution set of 11 - 5w = 1 from the replacement set {0, 2, 4}.

**What is the solution set of x 2 )( x 3 )= 2?**

Answer and Explanation: The solution set to the equation (x - 2)(x - 3) = 2 is **x = 1 and x = 4**.

**How do you write a solution set?**

Solution Sets for Equations

The set containing all the solutions of an equation is called the solution set for that equation. **If an equation has no solutions, we write ∅ for the solution set**.

**How do I find the solution to the equation?**

Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true, the number is a solution.

**What is a solution set in math?**

In mathematics, a solution set is **the set of values that satisfy a given set of equations or inequalities**. For example, for a set of polynomials over a ring , the solution set is the subset of on which the polynomials all vanish (evaluate to 0), formally.

**What is a solution set on a number line?**

A solution set is **the set of values which satisfy a given inequality**. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.

**What is are the solutions of x² 16?**

If we have the equation x2 = 16, what are the solutions to the equation? Since the square of a positive or negative number are always positive, this equation has two solutions, namely **x = -4 or x = 4**.

**What is the solution set of 7x2 3x 0?**

Summary: The solution set of 7x^{2} + 3x = 0 is **(0, -3/7)**.

**What is the solution set of x 3 ∩ x 5 }?**

Summary: The solution set of {x | x < -3} ∩ {x | x > 5} is **an empty set**.

**Is solution the same as answer?**

An answer is a response to a question and it may not be correct. **A solution is a correct answer that fully satisfies the question.**

## What is an example of a solution in math?

Mathematics A value or values which, when substituted for a variable in an equation, make the equation true. For example, the solutions to the equation **x2 = 4 are 2 and -2**.

**How do you make a solution step by step?**

From solid material

**Determine the concentration and amount of solution required for the experiment.** Calculate the amount of solute required to prepare the desired solution. Weigh out the amount of solute calculated in step (2) and obtain a volumetric flask of appropriate volume. Add the solute to the volumetric flask.

**What are the 3 types of solutions in math?**

...

**They are:**

- Unique Solution.
- No Solution.
- Infinitely Many Solutions.

**How do you know if there is no solution set?**

Equations with no solutions

In these equations, there is no value for the variable that makes the equation true. You can tell that an equation has no solutions **if you try to solve the equation and get a false statement**.

**What does no solution set mean?**

“No solution” means that **there is no value, not even 0, which would satisfy the equation**. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.

**What is the only solution of 2x² 8x X² 16?**

The only solution of 2x^{2} + 8x = x^{2} - 16 is **-4**.

**What is the solution of x² 12 7x?**

Answer: **x = 3 or x = 4** are the solutions of the given quadratic equation x^{2} + 12 = 7x, obtained by using the zero product property.

**Which of the following is the factor of x² − 12x 32 *?**

x2 - 12x + 32 factored is **(x - 4)(x - 8)**.

**What are the solutions of 3x² 6x 2 0?**

Hence, **x = 1 ± 1 3** is the final answer.

**What is the solution of 7x 9 16?**

∴ **x = 25 7**.

## What is the solution set of x2 49 0?

Hence, **x=−7 and x=7** are the roots of the given quadratic equation.

**What kind of set is A ={ 2 3 5 7 11?**

We know that 2, 3, 5, 7, 11, 13, 17, 19, 23 and so on are **prime numbers**. Hence, the set contains elements which are prime numbers. Hence, the answer is {x: x is a prime number}. Note: Do not try to find any arithmetic relations between the elements, first, observe all the elements and make a conclusion.

**What does X mean in sets?**

Set membership x ∈ X means **x is an element of the set X**. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y . Set equality X = Y means every element of X is an element of Y and every element of Y is an element of X.

**What is the solution set of X ∩ X 5?**

The solution set of {x | x < -5} ∩ {x | x > 5} is **empty ∅**.

**How do you identify the solution set of the system?**

To solve a system of equations by graphing, graph all the equations in the system. **The point(s) at which all the lines intersect are the solutions to the system**. Graph of System Since the two lines intersect at the point (1, 1), this point is a solution to the system.

**What is the solution set on a graph?**

The solution set consists of all points whose y-coordinate is greater than or equal to 1. These points are contained in the shaded region in the graph below. This kind of region is called a half-plane because it is one of two parts of the plane into which a boundary line divides it.

**How do I know if a number is a solution to a system of equations?**

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. **If the slopes are different, the system has one solution**. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

**How do you determine the number of solutions in a set of equations?**

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by **comparing the coefficients of the variables of the equations**.

**How will you check if your solution is correct?**

We check a solution to an equation by **replacing the variable in the equation with the value of the solution**. A solution should result in a true statement when simplified.

**How do you find the solution of a graph?**

To solve a system of linear equations graphically we graph both equations in the same coordinate system. **The solution to the system will be in the point where the two lines intersect**. The two lines intersect in (-3, -4) which is the solution to this system of equations.

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