Determine whether each number is a solution of the inequality below.
5x + 3 >= - 8 a. 0 b. 2 c. 1 a.
?. Is 2 a solution?
Yes
No
To determine whether each number is a solution of the inequality, we substitute each number 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 three numbers 0, 2, and 1 are solutions of the inequality.
To determine whether 2 is a solution to the inequality 5x + 3 >= -8, we substitute x = 2 into the inequality and check if the inequality is true.
Substituting x = 2, we get:
5(2) + 3 >= -8
10 + 3 >= -8
13 >= -8
Since 13 is indeed greater than or equal to -8, the inequality 5x + 3 >= -8 is true when x = 2. Therefore, the answer is:
Yes, 2 is a solution to the inequality.
To determine whether a given number is a solution to the inequality 5x + 3 >= -8, we need to substitute the number into the inequality and check if the resulting equation is true.
Let's check if 2 is a solution by substituting it into the inequality:
5(2) + 3 >= -8
10 + 3 >= -8
13 >= -8
Since the inequality 13 >= -8 is true, we can conclude that 2 is a solution to the inequality 5x + 3 >= -8.
Therefore, the answer is: Yes, 2 is a solution.