Solve the Linear Inequality: -2x + 9 ≤ 3 Step by Step

Solve the inequality:


−2x+9≤3 -2x + 9 \leq 3

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Step-by-step written solution

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1

Understand the problem

Solve the inequality:


−2x+9≤3 -2x + 9 \leq 3

2

Step-by-step solution

To solve the inequality −2x+9≤3 -2x + 9 \leq 3 , follow these steps:

1. Subtract 9 from both sides:

−2x+9−9≤3−9 -2x + 9 - 9 \leq 3 - 9

2. This simplifies to:

−2x≤−6 -2x \leq -6

3. Divide each side by -2, remembering to reverse the inequality sign since dividing by a negative number:

x≥−6−2 x \geq \frac{-6}{-2}

4. Simplifying gives:

x≥3 x \geq 3

Thus, the solution is x≤3 x \leq 3 .

3

Final Answer

x≥3 x \geq 3

Practice Quiz

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Solve the inequality:


\( 5-3x>-10 \)

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