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Solve for $h$ . $\newline$ $h + 5 \geq 15$ or $h + 11 \leq 10$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $h \geq 10$ or $h \leq -1$ $\newline$ (B) $h > 10$ or $h \leq -1$ $\newline$ (C) $h > 10$ or $h < -1$ $\newline$ (D) $h \geq 10$ or $h < -1$

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Solve compound inequalities

Full solution

Q. Solve for

h

.

\newline

h + 5 \geq 15

or

h + 11 \leq 10

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

h \geq 10

or

h \leq -1

\newline

(B)

h > 10

or

h \leq -1

\newline

(C)

h > 10

or

h < -1

\newline

(D)

h \geq 10

or

h < -1

Isolate $h$ : To solve the inequality $h + 5 \geq 15$ , we need to isolate $h$ . $\newline$ Subtract $5$ from both sides of the inequality. $\newline$ $h + 5 - 5 \geq 15 - 5$ $\newline$ $h \geq 10$
Isolate $h$ : To solve the inequality $h + 11 \leq 10$ , we need to isolate $h$ . $\newline$ Subtract $11$ from both sides of the inequality. $\newline$ $h + 11 - 11 \leq 10 - 11$ $\newline$ $h \leq -1$
Combine inequalities: Combine the two inequalities into a compound inequality. $\newline$ $h \geq 10$ or $h \leq -1$ $\newline$ This is the solution to the given problem.

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