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Solve for $u$ . $\newline$ $4 \geq u + 15 > 0$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $u > -11$ or $u < -15$ $\newline$ (B) $-11 \geq u > -15$ $\newline$ (C) $-11 > u > -15$ $\newline$ (D) $u \geq -11$ or $u < -15$

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Solve compound inequalities

Full solution

Q. Solve for

u

.

\newline

4 \geq u + 15 > 0

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

u > -11

or

u < -15

\newline

(B)

-11 \geq u > -15

\newline

(C)

-11 > u > -15

\newline

(D)

u \geq -11

or

u < -15

Analyze Inequality: Analyze the compound inequality $4 \geq u + 15 > 0$ . $\newline$ Which operation should we use to isolate $u$ ? $\newline$ In $u + 15$ , $15$ is being added to $u$ . $\newline$ Subtraction should be used to isolate $u$ .
Subtract $15$ : Subtract $15$ from all parts of the inequality $4 \geq u + 15 > 0$ . $\newline$ $4 - 15 \geq u + 15 - 15 > 0 - 15$ $\newline$ $-11 \geq u > -15$
Rewrite in Conventional Format: Rewrite the inequality in a more conventional format, which is $upper bound \geq variable > lower bound$ . $-11 \geq u > -15$ This is the correct compound inequality representing the solution.

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