Solve for y. y - 5 ≤ -3 or y - 15 > -10 Write your answer as a compound inequality with integers. Choices: (A)y ≤ 2 or y > 5 (B)y ≤ -8 or y > 5 (C)y ≤ -8 or y > -25 (D)y ≤ 2 or y > -25

Isolate y - 5 ≤ -3: First, let's solve the inequality y - 5 ≤ -3. To isolate y, we need to add 5 to both sides of the inequality. y - 5 + 5 ≤ -3 + 5 y ≤ 2Isolate y - 15 > -10: Now, let's solve the inequality y - 15 > -10. To isolate y, we need to add 15 to both sides of the inequality. y - 15 + 15 > -10 + 15 y > 5Compound Inequality Solution: We have two parts of the compound inequality: y ≤ 2 or y > 5 This is the solution to the given problem.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

y

\newline

y - 5 \leq -3

y - 15 > -10

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

y \leq 2

y > 5

\newline

(B)

y \leq -8

y > 5

\newline

(C)

y \leq -8

y > -25

\newline

(D)

y \leq 2

y > -25

Isolate $y - 5 \leq -3$ : First, let's solve the inequality $y - 5 \leq -3$ . To isolate $y$ , we need to add $5$ to both sides of the inequality. $y - 5 + 5 \leq -3 + 5$ $y \leq 2$
Isolate y - 15 > -10: Now, let's solve the inequality y - 15 > -10. To isolate $y$ , we need to add $15$ to both sides of the inequality. y - 15 + 15 > -10 + 15 y > 5
Compound Inequality Solution: We have two parts of the compound inequality: $\newline$ $y \leq 2$ or y > 5 $\newline$ This is the solution to the given problem.