Question

5/2 (7x-15)+x>13/2-3/2
$\frac{5}{2} (7x - 15) + x \geqslant \frac{13}{2} x - \frac{3}{2}$

Answer 1

5(7x - 15) + 2x ≥ 13x - 3    multiplied both sides by 2 to clear the denominator

35x - 75 + 2x ≥ 13 x - 3     distributed 5 into 7x-15

37x - 75  ≥ 13x - 3             added like terms (35x and 2x)

24x - 75 ≥ -3                     subtracted 13x from both sides

24x ≥ 72                           added 75 to both sides

x ≥ 3                                  divided both sides by 24

Answer: x ≥ 3        Notation: [3, ∞)