Starting claims
:
2x + 5 < 9
and
x + 1 > 0
2x + 5 - 5 < 9 - 5
and
x + 1 - 1 > 0 - 1
2x < 4
and
x > -1
x < 2
and
x > -1
Finally, divide both sides by (+2) on the left
:
x > -1
and
x < 2
Solution Set in interval notation
:
(-1, 2)
Solution set pictured on a number line