Solve Linear Inequality: 6x - 4 < 14 Step-by-Step

Solve the inequality:

6x4<14 6x - 4 < 14

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Step-by-step written solution

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1

Understand the problem

Solve the inequality:

6x4<14 6x - 4 < 14

2

Step-by-step solution

To solve the inequality 6x4<14 6x - 4 < 14 , follow these steps:

1. Add 4 to both sides:

6x4+4<14+4 6x - 4 + 4 < 14 + 4

2. Simplify:

6x<18 6x < 18

3. Divide both sides by 6 to solve for x x :

x<186 x < \frac{18}{6}

4. This simplifies to:

x<3 x < 3

Thus, the solution is x<3 x < 3 .

3

Final Answer

x<93 x < \frac{9}{3}

Practice Quiz

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Solve the inequality:


\( 5-3x>-10 \)

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