Is a = –1 a solution to the inequality below? a ≤ –9 Choices: (A)yes (B)no

Substitute and Evaluate: We are given that a = -1. Let's substitute the value for a in the inequality a ≤ -9. a ≤ -9 Replace a with -1. -1 ≤ -9Check Substitution: Determine if the substituted value makes the inequality true. After substituting a = -1, we compare -1 and -9 to see if -1 is less than or equal to -9. -1 is not less than -9, and it is not equal to -9 either. Therefore, the statement -1 ≤ -9 is false.Verify Solution: Since the statement -1 ≤ -9 is false, a = -1 is not a solution to the inequality a ≤ -9. Choose the equivalent option that says a = -1 is not a solution to the inequality a ≤ -9. The answer is no.

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Is $a = -1$ a solution to the inequality below? $\newline$ $a \leq -9$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 8

Solutions to inequalities

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Q. Is

a = -1

a solution to the inequality below?

\newline

a \leq -9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Evaluate: We are given that $a = -1$ . Let's substitute the value for $a$ in the inequality $a \leq -9$ . $\newline$ $a \leq -9$ $\newline$ Replace $a$ with $-1$ . $\newline$ $-1 \leq -9$
Check Substitution: Determine if the substituted value makes the inequality true. $\newline$ After substituting $a = -1$ , we compare $-1$ and $-9$ to see if $-1$ is less than or equal to $-9$ . $\newline$ $-1$ is not less than $-9$ , and it is not equal to $-9$ either. $\newline$ Therefore, the statement $-1 \leq -9$ is false.
Verify Solution: Since the statement $-1 \leq -9$ is false, $a = -1$ is not a solution to the inequality $a \leq -9$ . $\newline$ Choose the equivalent option that says $a = -1$ is not a solution to the inequality $a \leq -9$ . $\newline$ The answer is no.