Answer:
7) x ≥ -3
8) x < -8
Explanation:
- [tex]\sf If \ u^n < a, \ then -\sqrt[n]{a} < u < \sqrt[n]{a}[/tex]
- [tex]\sf If \ u^n > a, \ then \ u < -\sqrt[n]{a} \ \ or \ \ u > \sqrt[n]{a}[/tex]
7.
[tex]\sf -3(2x-7) \leq 39[/tex]
distribute
[tex]\sf -6x + 21 \leq 39[/tex]
relocate variables
[tex]\sf -6x \leq 39-21[/tex]
simplify
[tex]\sf -6x \leq 18[/tex]
dividing both sides by (-), changes the inequality sign
[tex]\sf x \geq -3[/tex]
8.
[tex]\sf 4x + 9 < x - 15[/tex]
collect like terms
[tex]\sf 4x -x < - 15-9[/tex]
simplify
[tex]\sf 3x < - 24[/tex]
divide both sides by (+)3
[tex]\sf x < -8[/tex]
