Solve the Linear Inequality: 7 + 2x < 15 Step-by-Step

Solve the inequality:


7+2x<15 7 + 2x < 15

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Step-by-step written solution

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1

Understand the problem

Solve the inequality:


7+2x<15 7 + 2x < 15

2

Step-by-step solution

To solve the inequality 7+2x<15 7 + 2x < 15 , we start by isolating the variable x x .

First, subtract 7 from both sides of the inequality:

7+2x7<157 7 + 2x - 7 < 15 - 7

Simplifying this, we get:

2x<8 2x < 8

Next, divide both sides by 2 to solve for x x :

2x2<82 \frac{2x}{2} < \frac{8}{2}

Thus, the solution is:

x<4 x < 4

3

Final Answer

x<4 x < 4

Practice Quiz

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Solve the inequality:


\( 5-3x>-10 \)

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