Solve for q. q - 18 > 0 or q + 19 q > -5 (B)q > 18 or q q ≥ -5 (D)q > 18 or q ≤ -5

Isolate q in first inequality: First, let's solve the inequality q - 18 > 0. To isolate q, we need to add 18 to both sides of the inequality. q - 18 + 18 > 0 + 18 q > 18Isolate q in second inequality: Now, let's solve the second inequality q + 19 18 or q < -5 This is the solution to the compound inequality.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

q

\newline

q - 18 > 0

q + 19 < 14

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

18 > q > -5

\newline

(B)

q > 18

q < -5

\newline

(C)

18 > q \geq -5

\newline

(D)

q > 18

q \leq -5

Isolate q in first inequality: First, let's solve the inequality q - 18 > 0. To isolate $q$ , we need to add $18$ to both sides of the inequality. q - 18 + 18 > 0 + 18 q > 18
Isolate $q$ in second inequality: Now, let's solve the second inequality q + 19 < 14. To isolate $q$ , we need to subtract $19$ from both sides of the inequality. q + 19 - 19 < 14 - 19 q < -5
Final solution: We have two separate inequalities from the original compound inequality: $\newline$ q > 18 or q < -5 $\newline$ This is the solution to the compound inequality.