Solve for h. h + 4 ≤ 10 or h - 11 > 0 Write your answer as a compound inequality with integers. Choices: (A)h ≤ 14 or h > -11 (B)h ≤ 6 or h > -11 (C)h ≤ 14 or h > 11 (D)h ≤ 6 or h > 11

Solve First Part: Solve the first part of the compound inequality. We have h + 4 ≤ 10. To isolate h, we need to subtract 4 from both sides of the inequality. h + 4 - 4 ≤ 10 - 4 h ≤ 6Solve Second Part: Solve the second part of the compound inequality. We have h - 11 > 0. To isolate h, we need to add 11 to both sides of the inequality. h - 11 + 11 > 0 + 11 h > 11Combine Solutions: Combine the solutions from Step 1 and Step 2 to write the final compound inequality. The solution is h ≤ 6 or h > 11.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

h

\newline

h + 4 \leq 10

h - 11 > 0

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

h \leq 14

h > -11

\newline

(B)

h \leq 6

h > -11

\newline

(C)

h \leq 14

h > 11

\newline

(D)

h \leq 6

h > 11

Solve First Part: Solve the first part of the compound inequality. $\newline$ We have $h + 4 \leq 10$ . To isolate $h$ , we need to subtract $4$ from both sides of the inequality. $\newline$ $h + 4 - 4 \leq 10 - 4$ $\newline$ $h \leq 6$
Solve Second Part: Solve the second part of the compound inequality. $\newline$ We have h - 11 > 0. To isolate $h$ , we need to add $11$ to both sides of the inequality. $\newline$ h - 11 + 11 > 0 + 11 $\newline$ h > 11
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to write the final compound inequality. $\newline$ The solution is $h \leq 6$ or h > 11.