Answer:
x ≥ 4
Explanation:
cross-multiply:
3x - 1 ≥ 1(2x + 3)
3x - 1 ≥ 2x + 3
subtract 2x from boths sides and add 1 to both sides:
3x - 2x ≥ 3 + 1
x ≥ 4
our domain is x ≥ 4.
we can check if we're correct by inputting 4, 3.9 and 4.1 into the equation.
[3(4) - 1] / [2(4) + 3]
= 11/11
= 1
[3(3.9) - 1] / [2(3.9) + 3]
= 107/108 < 1
[3(4.1) - 1] / [2(4.1) + 3]
= 113/112 > 1