Solving Two Step Equations

Two Step Inequalities You will solve these just like two step equations. Be careful when you are dividing or multiplying by a negative number –Remember you have to change the inequality sign to its opposite.

Example 1 4x + 4 > x > x > Check:x = -3 4x + 4 > -12 4(-3) + 4 > > > -12

Example 2 15 ≥ -2x ≥ -2x ≤ x x ≥ -5 You have to switch the sign because you are dividing by a negative number!! Check:x = 0 15 ≥ -2x ≥ -2(0) ≥ ≥ 5

Example 3 3(4x – 5) ≤ 9 12x – 15 ≤ x ≤ x ≤ Check:x = 0 3(4x – 5) ≤ 9 3(4(0) – 5) ≤ 9 3(0 – 5) ≤ 9 3(-5) ≤ ≤ 9

Example 4 3(-2x + 8) < 54 -6x + 24 < x < x > -5 You have to switch the sign because you are dividing by a negative number!! Check:x = 0 3(-2x +8) < 54 3(-2(0) +8) < 54 3(0 + 8) < 4 3(8) < < 54