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Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.

User SR Bhaskar
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1 Answer

3 votes

Answer:

Answer with a fraction: x ≤ 7/2

Answer with a decimal: x ≤ 3.5

Explanation:

We can solve the inequality using the following steps:

Step 1: Combine like terms on the right-hand side:

2x - 5 ≤ -8x + 30

Step 2: Add 5 to both sides:

(2x - 5 ≤ -8x + 30) + 5

2x ≤ -8x + 35

Step 3: Add 8x to both sides:

(2x ≤ -8x + 35) + 8x

10x ≤ 35

Step 4: Divide both sides by 10 and simplify to solve the inequality:

(10x ≤ 35) / 10

x ≤ 35/10

x ≤ 7/2

Thus, the solution to the inequality is x ≤ 7/2.

If you prefer the decimal answer, it's x ≤ 3.5.

User Silvamerica
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