Nine minus five times a number, x, is no less than 39. Which of the subsequent expressions represents all the possible values of the number?
Translate the sentence, "Nine minus ?ve times a number is no less than 39," into symbols: 9 - 5x ≥ 39. Subtract 9 from both sides of the inequality: 9 - 9 - 5x ≥ 39 - 9. Simplify: -5x ≥ 30; divide both sides of the inequality through -5. Noticed that when dividing or multiplying each side of an inequality by a negative number, the inequality symbol changes direction: -5x /-5 ≤ 30 /-5. The variable is now alone: x ≤ -6.