Question

Which inequality is equivalent to −1 ≥ m + 4 ?

m < −5m < −5
m ≤ −5m ≤ −5
m ≥ −5m ≥ −5
m ≤ 3

Answer 1

To find an equivalent inequality for -1 ≥ m + 4, we need to isolate the variable m. We can do this by subtracting 4 from both sides of the inequality. This gives us -1 - 4 ≥ m, which simplifies to -5 ≥ m. Therefore, the inequality equivalent to -1 ≥ m + 4 is m ≤ -5.

Step-by-step explanation:

The inequality −1 ≥ m + 4 can be solved to find an equivalent inequality by subtracting 4 from both sides. This gives us m ≤ −5, which means that the value of 'm' must be less than or equal to negative five to satisfy the inequality.

To isolate the 'm', we subtract 4 from each side of the original inequality:

−1 ≥ m + 4
−1 − 4 ≥ m + 4 − 4
−5 ≥ m

This answers the question by providing the equivalent inequality: m ≤ −5.