Question

Determine whether the given value is a solution to the inequality. Enter yes or no.

8 ≠ 3p + 2; p = 2

Answer 1

no / false

Step-by-step explanation:

If we set the "p" in this equation to be equal to 2 (p = 2), we can test this inequality:

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

FALSE STATEMENT

so, p = 2 is not a solution to this inequality

(no)

hope this helps!!

{"≠" means the opposite of = [the two sides of the equation are not equal, which is not true for this situation] }

Answer 2

Answer: No

Step-by-step explanation:

Replace p with 2 and simplify

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

We get a false claim, so the original inequality 8 ≠ 3p + 2 is false when p = 2. Meaning that p = 2 is not a solution.

If the "not equal" sign was changed to an equal sign, then we would have a solution.