Step 1: Adding 7 to both sides of the inequality:
2/5m - 7 + 7 ≤ 17 + 7
2/5m ≤ 24
To justify this step, we use the property that states: "For any real numbers a, b, and c, if a ≤ b, then a + c ≤ b + c." In this case, we have b = 17 and c = 7.
Step 2: Multiplying both sides of the inequality by 5/2 (or multiplying both sides by the reciprocal of 2/5, which is 5/2):
(2/5)m * (5/2) ≤ 24 * (5/2)
m ≤ 60/2
m ≤ 30
To justify this step, we use the property that states: "For any real numbers a, b, and c, and a positive number c, if a ≤ b, then ac ≤ bc." In this case, we have b = 24 and c = 5/2.
Using the properties of inequality, justify both steps in solving the inequality 2/5m−7≤17 .
using numbers
1 answer
1 answer