f(x) < g(x)
(2x + 3) < (3x - 2)
3 < x - 2
5 < x
x > 5
Check:
2x + 3 < 3x - 2
2(5) + 3 < 3(5) - 2
10 + 3 < 15 - 2
13 < 13 --- FALSE
2(10) + 3 < 3(10) - 2
20 + 3 < 30 - 2
23 < 28 --- TRUE
Hope this helps!
Answer:
x < 5
Step-by-step explanation:
f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
2x + 3 < 3x - 2
2x - 3x < -2 -3
-x < -5
x > 5
