Step-by-step explanation:
4x - 18 <= -x - 3
5x - 18 <= -3
5x - 15 <= 0
x - 3 <= 0
x <= 3
-3x - 9 >= -3
-3x >= 6
-x >= 2
x <= -2
the combination of
x <= 3
and
x <= -2
that makes both inequalities true is the more restricted one :
x <= -2
all x-values smaller or equal to -2 make both inequalities true.
all x-values larger than -2 but smaller or equal to 3 makes only the first unnaturally true.
all x-values larger than 3 will make both inequalities false.
