ANSWER
[tex]x \: < \: - 8[/tex]
EXPLANATION
The given inequality is
[tex]3 - (2x - 5) \: < \: - 4(x + 2)[/tex]
Expand:
[tex]3 - 2x + 5 \: < \: - 4x - 8[/tex]
Group similar terms, to obtain:
[tex] - 2x + 4x\: < \: - 8 - 5 - 3[/tex]
Combine similar terms:
[tex]2x\: < \: - 16[/tex]
Divide both sides by 2 to get,
[tex]x \: < \: - 8[/tex]
