Using the properties of inequality, justify both steps in solving the inequality 25m−7≤17 .(4 points)

Answer 1

Step 1: 25m - 7 ≤ 17

In this step, we isolate the variable by adding 7 to both sides of the inequality.

25m - 7 + 7 ≤ 17 + 7

25m ≤ 24

By the property of inequality, if we add the same number to both sides of an inequality, the inequality remains the same.

Step 2: 25m ≤ 24

In this step, we divide both sides of the inequality by 25.

(25m)/25 ≤ 24/25

m ≤ 24/25

By the property of inequality, if we divide both sides of an inequality by the same positive number, the inequality remains the same.

Therefore, the solution to the inequality 25m - 7 ≤ 17 is m ≤ 24/25.