Is f = –3 a solution to the inequality below? –7 ≤ f Choices: (A)yes (B)no

Understand the inequality: Understand the inequality The inequality –7 ≤ f means that f is greater than or equal to –7.Substitute value of f: Substitute the value of f into the inequality Substitute f = –3 into the inequality to check if it satisfies the condition –7 ≤ f. –7 ≤ –3Compare values: Compare the values Since –7 is less than –3, the inequality holds true. Therefore, –3 is indeed greater than or equal to –7.Conclusion: Conclusion Since the inequality is satisfied with f = –3, the answer to the question is yes, f = –3 is a solution to the inequality –7 ≤ f.

Home

Math Problems

Algebra 1

Identify solutions to inequalities

Full solution

Q. Is

f = -3

a solution to the inequality below?

\newline

-7 \leq f

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand the inequality: Understand the inequality $\newline$ The inequality $-7 \leq f$ means that $f$ is greater than or equal to $-7$ .
Substitute value of f: Substitute the value of $f$ into the inequality $\newline$ Substitute $f = -3$ into the inequality to check if it satisfies the condition $-7 \leq f$ . $\newline$ $-7 \leq -3$
Compare values: Compare the values $\newline$ Since $-7$ is less than $-3$ , the inequality holds true. Therefore, $-3$ is indeed greater than or equal to $-7$ .
Conclusion: Conclusion $\newline$ Since the inequality is satisfied with $f = -3$ , the answer to the question is yes, $f = -3$ is a solution to the inequality $-7 \leq f$ .