Question

Using the properties of inequality, justify both steps in solving the inequality 2/5 m−7 ≤ 17.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 2/5m - 7 ≤ 17, we can use the properties of inequality.

Step 1: Add 7 to both sides of the inequality.

By doing this, the inequality becomes: 2/5m - 7 + 7 ≤ 17 + 7.

Simplifying, we get: 2/5m ≤ 24.

Step 2: Multiply both sides of the inequality by 5/2 (the reciprocal of 2/5) to isolate the variable m.

By doing this, the inequality becomes: (2/5m) * (5/2) ≤ 24 * (5/2).

Simplifying, we get: m ≤ 60.

Therefore, the original inequality 2/5m - 7 ≤ 17 is solved Steps 1 and 2: m ≤ 60.