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Solve for $u$ . $\newline$ u - 3 > 6 or u + 16 < 20 $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A)9 \geq u > 4 $\newline$ (B)9 > u > 4 $\newline$ (C)u > 9 or u < 4 $\newline$ (D) $u \geq 9$ or u < 4

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Solve compound inequalities

Full solution

Q. Solve for

u

.

\newline

u - 3 > 6

or

u + 16 < 20

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

9 \geq u > 4

\newline

(B)

9 > u > 4

\newline

(C)

u > 9

or

u < 4

\newline

(D)

u \geq 9

or

u < 4

Addition to isolate $u$ : To isolate $u$ in the first inequality, u - 3 > 6, we need to add $3$ to both sides of the inequality. $\newline$ u - 3 + 3 > 6 + 3 $\newline$ u > 9
Subtraction to isolate $u$ : To isolate $u$ in the second inequality, u + 16 < 20, we need to subtract $16$ from both sides of the inequality. $\newline$ u + 16 - 16 < 20 - 16 $\newline$ u < 4
Combining inequalities: Now we combine both inequalities to form the compound inequality. u > 9 or u < 4

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