2/3(6x - 9) + 4 > 5x + 1 4x - 6 + 4 > 5x + 1 (eliminate parentheses using the distributive property) -2 > x + 1 (subtract 4x) -3 > x (subtract 1) Check For x = -3, we expect the left side equal to the right side (inequality NOT satisfied) 2/3(6(-3)-9) + 4 > 5(-3) + 1 2/3(-18-9) + 4 > -15 + 1 2/3(-27) + 4 > -14 -18 + 4 > -14 (the inequality is not satisfied, as expected) For x = -4, we expect the inequality to be satisfied. 2/3(6(-4)-9) + 4 > 5(-4) + 1 2/3(-24-9) + 4 > -20 + 1 2/3(-33) + 4 > -19 -22 + 4 > - 19 (the inequality is satisfied, as expected)
