Determine whether each number is a solution of the inequality below.

Question

5x + 3 >= - 8 a. 0 b. 2 c. 1 a.

b. Is 2 a solution?

Yes
No

Answer 1

To determine whether each number is a solution of the inequality, substitute the value into the inequality and check if the inequality holds true.

a. 0:
5(0) + 3 >= - 8
0 + 3 >= - 8
3 >= - 8

This is true, so 0 is a solution.

b. 2:
5(2) + 3 >= - 8
10 + 3 >= - 8
13 >= - 8

This is true, so 2 is a solution.

c. 1:
5(1) + 3 >= - 8
5 + 3 >= - 8
8 >= - 8

This is true, so 1 is a solution.

Therefore, all the given numbers (0, 2, 1) are solutions to the inequality.