Solve for j. j + 4 > 10 or j - 3 14 or j 14 or j 6 or j 6 or j < -8

Solve First Part: Solve the first part of the compound inequality. We have j + 4 > 10. To isolate j, we need to subtract 4 from both sides of the inequality. j + 4 - 4 > 10 - 4 j > 6Solve Second Part: Solve the second part of the compound inequality. We have j - 3 6 or j < -8.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

j

\newline

j + 4 > 10

j - 3 < -11

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Write your answer as a compound inequality with integers.

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Choices:

\newline

(A)

j > 14

j < -14

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(B)

j > 14

j < -8

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(C)

j > 6

j < -14

\newline

(D)

j > 6

j < -8

Solve First Part: Solve the first part of the compound inequality. $\newline$ We have j + 4 > 10. To isolate $j$ , we need to subtract $4$ from both sides of the inequality. $\newline$ j + 4 - 4 > 10 - 4 $\newline$ j > 6
Solve Second Part: Solve the second part of the compound inequality. $\newline$ We have j - 3 < -11. To isolate $j$ , we need to add $3$ to both sides of the inequality. $\newline$ j - 3 + 3 < -11 + 3 $\newline$ j < -8
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to form the compound inequality. $\newline$ The solution is j > 6 or j < -8.