Question

What is the solution of 7 + m ≥ 2 and m + 1 < 2?

Answer 1

-5 ≤m<1

Explanation:

7 + m ≥ 2 and m + 1 < 2?

Solve the inequality on the left first

7 + m ≥ 2

Subtract 7 on each side

7-7 + m ≥ 2-7

m ≥ -5

Now solve the equation on the right

m + 1 < 2

Subtract 1 from each side

m + 1-1 < 2-1

m <1

Since this is an and

-5 ≤m<1