Question

If −m ≤ 7 is true, then write an equivalent inequality in terms of mm.

a) m ≥ -7
b) m > 7
c) m < -7
d) m = 7

Answer 1

The inequality −m ≤ 7, when rewritten in terms of m, becomes m ≥ −7. This demonstrates that m can take any value greater than or equal to -7.

Step-by-step explanation:

If the inequality −m ≤ 7 is true, then by multiplying both sides by -1 and flipping the inequality sign (as per the rules of inequalities), we obtain an equivalent inequality in terms of m. This process changes the inequality to m ≥ −7. Therefore, the equivalent inequality in terms of m is:

m ≥ −7

This means that the values of m are all numbers greater than or equal to -7, including -7 itself.