Solve for x. x - 16 11 (C)x 11

Solve First Part: Solve the first part of the compound inequality x - 16 < -12. Which operation should we use to isolate x? In x - 16, 16 is being subtracted from x. Addition should be used to isolate x. x - 16 < -12 x - 16 + 16 < -12 + 16 x < 4Solve Second Part: Solve the second part of the compound inequality x - 8 ≥ 3. Which operation should we use to isolate x? In x - 8, 8 is being subtracted from x. Addition should be used to isolate x. x - 8 ≥ 3 x - 8 + 8 ≥ 3 + 8 x ≥ 11Combine Solutions: Combine the solutions from Step 1 and Step 2 to write the final compound inequality. The solution to the compound inequality is x < 4 or x ≥ 11.

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Solve for $x$ . $\newline$ x - 16 < -12 or $x - 8 \geq 3$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $x \leq 4$ or $x \geq 11$ $\newline$ (B) $x \leq 4$ or x > 11 $\newline$ (C)x < 4 or $x \geq 11$ $\newline$ (D)x < 4 or x > 11

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

x

\newline

x - 16 < -12

x - 8 \geq 3

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

x \leq 4

x \geq 11

\newline

(B)

x \leq 4

x > 11

\newline

(C)

x < 4

x \geq 11

\newline

(D)

x < 4

x > 11

Solve First Part: Solve the first part of the compound inequality x - 16 < -12. Which operation should we use to isolate $x$ ? In $x - 16$ , $16$ is being subtracted from $x$ . Addition should be used to isolate $x$ . x - 16 < -12 x - 16 + 16 < -12 + 16 x < 4
Solve Second Part: Solve the second part of the compound inequality $x - 8 \geq 3$ . $\newline$ Which operation should we use to isolate $x$ ? $\newline$ In $x - 8$ , $8$ is being subtracted from $x$ . $\newline$ Addition should be used to isolate $x$ . $\newline$ $x - 8 \geq 3$ $\newline$ $x - 8 + 8 \geq 3 + 8$ $\newline$ $x \geq 11$
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to write the final compound inequality. $\newline$ The solution to the compound inequality is x < 4 or $x \geq 11$ .