Question

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

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

b. Is 2 a solution?

Yes
No

Answer 1

To determine whether a number is a solution of the inequality, substitute the number into the inequality and see if it is true.

For the inequality 5x + 3 >= -8:

a. For x = 0:
5(0) + 3 = 3 ≥ -8
Since 3 is greater than or equal to -8, 0 is a solution.

b. For x = 2:
5(2) + 3 = 10 + 3 = 13 ≥ -8
Since 13 is greater than or equal to -8, 2 is a solution.

c. For x = 1:
5(1) + 3 = 5 + 3 = 8 ≥ -8
Since 8 is greater than or equal to -8, 1 is a solution.

Therefore, all of the numbers (0, 2, and 1) are solutions of the inequality.