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Solve for $m$ . $\newline$ $m + 10 > 20$ or $m + 20 < 15$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $m > 10$ or $m \leq -5$ $\newline$ (B) $m \geq 10$ or $m < -5$ $\newline$ (C) $m \geq 10$ or $m \leq -5$ $\newline$ (D) $m > 10$ or $m < -5$

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Solve compound inequalities

Full solution

Q. Solve for

m

.

\newline

m + 10 > 20

or

m + 20 < 15

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

m > 10

or

m \leq -5

\newline

(B)

m \geq 10

or

m < -5

\newline

(C)

m \geq 10

or

m \leq -5

\newline

(D)

m > 10

or

m < -5

Solve first part: Solve the first part of the compound inequality. $\newline$ $m + 10 > 20$ $\newline$ Which operation should we use to isolate $m$ ? $\newline$ In $m + 10$ , $10$ is being added to $m$ . $\newline$ Subtraction should be used to isolate $m$ . $\newline$ $m + 10 - 10 > 20 - 10$ $\newline$ $m > 10$
Solve second part: Solve the second part of the compound inequality. $\newline$ $m + 20 < 15$ $\newline$ Which operation should we use to isolate $m$ ? $\newline$ In $m + 20$ , $20$ is being added to $m$ . $\newline$ Subtraction should be used to isolate $m$ . $\newline$ $m + 20 - 20 < 15 - 20$ $\newline$ $m < -5$
Combine solutions: Combine the solutions from Step $1$ and Step $2$ to form the compound inequality. $\newline$ The compound inequality is: $\newline$ $m > 10$ or $m < -5$

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