Solve for h. h - 12 > 7 or h - 20 ≤ -3 Write your answer as a compound inequality with integers. Choices: (A)19 > h ≥ 17 (B)19 > h > 17 (C)h > 19 or h ≤ 17 (D)h > 19 or h < 17

Solve first inequality: First, let's solve the inequality h - 12 > 7. To isolate h, we need to add 12 to both sides of the inequality. h - 12 + 12 > 7 + 12 h > 19Solve second inequality: Now, let's solve the second inequality h - 20 ≤ -3. To isolate h, we need to add 20 to both sides of the inequality. h - 20 + 20 ≤ -3 + 20 h ≤ 17Combine into compound inequality: We have two separate inequalities from the original compound inequality: h > 19 or h ≤ 17. These can be combined into a compound inequality as is, without further simplification.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

h

\newline

h - 12 > 7

h - 20 \leq -3

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

19 > h \geq 17

\newline

(B)

19 > h > 17

\newline

(C)

h > 19

h \leq 17

\newline

(D)

h > 19

h < 17

Solve first inequality: First, let's solve the inequality h - 12 > 7. $\newline$ To isolate $h$ , we need to add $12$ to both sides of the inequality. $\newline$ h - 12 + 12 > 7 + 12 $\newline$ h > 19
Solve second inequality: Now, let's solve the second inequality $h - 20 \leq -3$ . $\newline$ To isolate $h$ , we need to add $20$ to both sides of the inequality. $\newline$ $h - 20 + 20 \leq -3 + 20$ $\newline$ $h \leq 17$
Combine into compound inequality: We have two separate inequalities from the original compound inequality: h > 19 or $h \leq 17$ . These can be combined into a compound inequality as is, without further simplification.