Question

Solve 2x + 3 > 1 and 5x – 9 ≤ 6.

Answer 1

solve each inequality separately, then combine

Answer 2

\[\large 2x + 3 > 1\]\[\implies \large 2x > 1-3\]\[\implies \large 2x > -2\] \[\implies \LARGE x > -1\]\[\implies \LARGE -1<x\]

Answer 3

what do you get after solving: \(\Large 5x – 9 \le 6\) ??

Answer 4

2x + 3 > 1
2x + 3 - 3 > 1 - 3
2x > -2
x > -1
&&
5x - 9 <= 6
5x - 9 + 9 <= 6 + 9
5x <= 15
x <= 3

so answer is -1 < x <= 3