Solve for z. z - 7 ≥ 11 or z - 16 ≤ -7 Write your answer as a compound inequality with integers. Choices: (A)z ≥ 18 or z ≤ 9 (B)z > 18 or z 18 or z ≤ 9 (D)z ≥ 18 or z < 9

Addition to Isolate z: To solve the inequality z - 7 ≥ 11, we need to isolate z by adding 7 to both sides of the inequality. Calculation: z - 7 + 7 ≥ 11 + 7 z ≥ 18Combine Compound Inequality: To solve the inequality z - 16 ≤ -7, we need to isolate z by adding 16 to both sides of the inequality. Calculation: z - 16 + 16 ≤ -7 + 16 z ≤ 9Now we combine both parts of the compound inequality using ＂or＂ because the original problem states ＂z - 7 ≥ 11 or z - 16 ≤ -7＂. The combined compound inequality is z ≥ 18 or z ≤ 9.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $z$ . $\newline$ $z - 7 \geq 11$ or $z - 16 \leq -7$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $z \geq 18$ or $z \leq 9$ $\newline$ (B)z > 18 or z < 9 $\newline$ (C)z > 18 or $z \leq 9$ $\newline$ (D) $z \geq 18$ or z < 9

View step-by-step help

Home

Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

z

\newline

z - 7 \geq 11

z - 16 \leq -7

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

z \geq 18

z \leq 9

\newline

(B)

z > 18

z < 9

\newline

(C)

z > 18

z \leq 9

\newline

(D)

z \geq 18

z < 9

Addition to Isolate $z$ : To solve the inequality $z - 7 \geq 11$ , we need to isolate $z$ by adding $7$ to both sides of the inequality. $\newline$ Calculation: $z - 7 + 7 \geq 11 + 7$ $\newline$ $z \geq 18$
Combine Compound Inequality: To solve the inequality $z - 16 \leq -7$ , we need to isolate $z$ by adding $16$ to both sides of the inequality. $\newline$ Calculation: $z - 16 + 16 \leq -7 + 16$ $\newline$ $z \leq 9$
Combine Compound Inequality: To solve the inequality $z - 16 \leq -7$ , we need to isolate $z$ by adding $16$ to both sides of the inequality. $\newline$ Calculation: $z - 16 + 16 \leq -7 + 16$ $\newline$ $z \leq 9$ Now we combine both parts of the compound inequality using ＂or＂ because the original problem states ＂ $z - 7 \geq 11$ or $z - 16 \leq -7$ ＂. $\newline$ The combined compound inequality is $z \geq 18$ or $z \leq 9$ .