QuestionDecember 13, 2025

What is the solution to x-9gt -15 7 xlt -24 xlt -6 xgt -6 xgt -24

What is the solution to x-9gt -15 7 xlt -24 xlt -6 xgt -6 xgt -24
What is the solution to x-9gt -15 7
xlt -24
xlt -6
xgt -6
xgt -24

Solution
4.0(186 votes)

Answer

No solution. Explanation 1. Solve x - 9 > -15 Add 9 to both sides: x > -6. 2. Keep x -6 Already given: x > -6. 5. Keep x > -24 Already given: x > -24. 6. Find intersection of inequalities From Step1: x > -6; Step2: x < -24 ⇒ no overlap → empty set.

Explanation

1. Solve $x - 9 > -15$<br /> Add $9$ to both sides: $x > -6$.<br />2. Keep $x < -24$<br /> Already given: $x < -24$.<br />3. Keep $x < -6$<br /> Already given: $x < -6$.<br />4. Keep $x > -6$<br /> Already given: $x > -6$.<br />5. Keep $x > -24$<br /> Already given: $x > -24$.<br />6. Find intersection of inequalities<br /> From Step1: $x > -6$; Step2: $x < -24$ ⇒ no overlap → empty set.
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