Solve for c. c + 20 > 19 or c - 7 39 or c 39 or c -1 or c -1 or c < -5

Solve first part: Solve the first part of the compound inequality. We have c + 20 > 19. To isolate c, we need to subtract 20 from both sides of the inequality. c + 20 - 20 > 19 - 20 c > -1Solve second part: Solve the second part of the compound inequality. We have c - 7 -1 or c < -5.

Home

Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

c

\newline

c + 20 > 19

c - 7 < -12

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

c > -1

c < -5

\newline

(B)

c > -1

c < -19

\newline

(C)

c > 39

c < -19

\newline

(D)

c > 39

c < -5

Solve first part: Solve the first part of the compound inequality. $\newline$ We have c + 20 > 19. To isolate $c$ , we need to subtract $20$ from both sides of the inequality. $\newline$ c + 20 - 20 > 19 - 20 $\newline$ c > -1
Solve second part: Solve the second part of the compound inequality. $\newline$ We have c - 7 < -12. To isolate $c$ , we need to add $7$ to both sides of the inequality. $\newline$ c - 7 + 7 < -12 + 7 $\newline$ c < -5
Combine solutions: Combine the solutions from Step $1$ and Step $2$ to form the compound inequality. $\newline$ The compound inequality is c > -1 or c < -5.