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

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

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

h

\newline

h + 5 \geq 15

h + 11 \leq 10

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

h \geq 10

h \leq -1

\newline

(B)

h > 10

h \leq -1

\newline

(C)

h > 10

h < -1

\newline

(D)

h \geq 10

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.