Algebra: A Combined Approach (4th Edition)

x $\geq$ 1
2(x - 3) - 5 $\leq$ 3(x + 2) - 18 Distribute: 2x - 6 - 5 $\leq$ 3x + 6 - 18 Combine like terms: 2x - 11 $\leq$ 3x - 12 Subtract 3x from both sides: -x - 11 $\leq$ -12 Add 11 to both sides: -x $\leq$ -1 Divide both sides by -1 and change the sign: x $\geq$ 1