Answer:
[tex]x \: < \: 3\: and \: x\: > \: 2[/tex]
Step-by-step explanation:
The given inequality is
[tex]4x - 4 \: < \: 8 \: and \: 9x + 5 \: > \: 23[/tex]
Add 4 to both sides of the first inequality and subtract 5 from both sides of the second inequality.
[tex]4x \: < \: 8 + 4 \: and \: 9x\: > \: 23 - 5[/tex]
We simplify to get:
[tex]4x \: < \: 12 \: and \: 9x\: > \: 18[/tex]
Divide through the first inequality by 4 and the second by 9.
[tex]x \: < \: 3\: and \: x\: > \: 2[/tex]
