Which of the following is a solution to the inequality below? –1 ≤ u Choices: (A)u = –8 (B)u = –1 (C)u = –6 (D)u = –4

Evaluate choice (A): Evaluate choice (A) u = –8. Plug in the value for u in –1 ≤ u. –1 ≤ u Replace u with –8. –1 ≤ –8 Check if the inequality holds.Evaluate choice (B): Since –1 is not less than or equal to –8, choice (A) is not a solution to the inequality –1 ≤ u. Step 2: Evaluate choice (B) u = –1. Plug in the value for u in –1 ≤ u. –1 ≤ u Replace u with –1. –1 ≤ –1 Check if the inequality holds.Evaluate choice (C): Since –1 is equal to –1, choice (B) is a solution to the inequality –1 ≤ u. Step 3: Evaluate choice (C) u = –6. Plug in the value for u in –1 ≤ u. –1 ≤ u Replace u with –6. –1 ≤ –6 Check if the inequality holds.Evaluate choice (D): Since –1 is not less than or equal to –6, choice (C) is not a solution to the inequality –1 ≤ u. Step 4: Evaluate choice (D) u = –4. Plug in the value for u in –1 ≤ u. –1 ≤ u Replace u with –4. –1 ≤ –4 Check if the inequality holds.

Home

Math Problems

Grade 8

Solutions to inequalities

Full solution

Q. Which of the following is a solution to the inequality below?

\newline

-1 \leq u

\newline

Choices:

\newline

(A)

u = -8

\newline

(B)

u = -1

\newline

(C)

u = -6

\newline

(D)

u = -4

Evaluate choice (A): Evaluate choice (A) $u = -8$ . $\newline$ Plug in the value for $u$ in $-1 \leq u$ . $\newline$ $-1 \leq u$ $\newline$ Replace $u$ with $-8$ . $\newline$ $-1 \leq -8$ $\newline$ Check if the inequality holds.
Evaluate choice (B): Since $-1$ is not less than or equal to $-8$ , choice (A) is not a solution to the inequality $-1 \leq u$ .

Step $2$ : Evaluate choice (B) $u = -1$ .
Plug in the value for $u$ in $-1 \leq u$ .
$-1 \leq u$
Replace $u$ with $-1$ .
$-1 \leq -1$
Check if the inequality holds.
Evaluate choice (C): Since $-1$ is equal to $-1$ , choice (B) is a solution to the inequality $-1 \leq u$ . $\newline$ $\newline$ Step $3$ : Evaluate choice (C) $u = -6$ . $\newline$ Plug in the value for $u$ in $-1 \leq u$ . $\newline$ $-1 \leq u$ $\newline$ Replace $u$ with $-6$ . $\newline$ $-1 \leq -6$ $\newline$ Check if the inequality holds.
Evaluate choice (D): Since $-1$ is not less than or equal to $-6$ , choice (C) is not a solution to the inequality $-1 \leq u$ .

Step $4$ : Evaluate choice (D) $u = -4$ .
Plug in the value for $u$ in $-1 \leq u$ .
$-1 \leq u$
Replace $u$ with $-4$ .
$-1 \leq -4$
Check if the inequality holds.