Solve for u. u + 15 11 Write your answer as a compound inequality with integers. Choices: (A)u ≤ -16 or u ≥ -3 (B)u -3 (C)u ≤ -16 or u > -3 (D)u < -16 or u ≥ -3

Isolate u in first inequality: To solve the compound inequality, we need to isolate u in both inequalities. Let's start with the first inequality u + 15 11. Subtract 14 from both sides to isolate u. u + 14 - 14 > 11 - 14 u > -3Combine into compound inequality: We have two separate inequalities as a result of our calculations: u -3. These can be combined into a compound inequality using ＂or＂ because the original statement used ＂or＂. The final compound inequality is u -3.

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Solve for $u$ . $\newline$ u + 15 < -1 or u + 14 > 11 $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $u \leq -16$ or $u \geq -3$ $\newline$ (B)u < -16 or u > -3 $\newline$ (C) $u \leq -16$ or u > -3 $\newline$ (D)u < -16 or $u \geq -3$

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

u

\newline

u + 15 < -1

u + 14 > 11

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

u \leq -16

u \geq -3

\newline

(B)

u < -16

u > -3

\newline

(C)

u \leq -16

u > -3

\newline

(D)

u < -16

u \geq -3

Isolate $u$ in first inequality: To solve the compound inequality, we need to isolate $u$ in both inequalities. Let's start with the first inequality u + 15 < -1. $\newline$ Subtract $15$ from both sides to isolate $u$ . $\newline$ u + 15 - 15 < -1 - 15 $\newline$ u < -16
Isolate $u$ in second inequality: Now let's solve the second inequality u + 14 > 11. $\newline$ Subtract $14$ from both sides to isolate $u$ . $\newline$ u + 14 - 14 > 11 - 14 $\newline$ u > -3
Combine into compound inequality: We have two separate inequalities as a result of our calculations: u < -16 and u > -3. These can be combined into a compound inequality using ＂or＂ because the original statement used ＂or＂. $\newline$ The final compound inequality is u < -16 or u > -3.