Question

Solve 2x + 3 > 1 and 5x – 9 ≤ 6.
2 < x ≤ 3
-1 < x ≤ 3
2 < x ≤ -3/5
no solution

Answer 1

2x + 3 > 1


2x > 1-3

2x > -2

x > -2/2

x > -1

-----------------


5x-9≤ 6

5x≤ 6+9

5x≤ 15

x≤ 15/5

x≤ 3


So x > -1 AND x≤ 3 at the same time. Combine these to get


-1 < x ≤ 3

Answer 2

-1 < x ≤ 3 is the ans