Question

Determine the value of y in the two-step linear inequality 18 - 6y < 42.

a) y > 4
b) y < 4
c) y > -7
d) y < -7

Answer 1

To solve the inequality 18 - 6y < 42 and determine the value of y, you need to isolate y by subtracting 18 and then dividing by -6. The correct answer is Option (c) y > -7.

Step-by-step explanation:

To determine the value of y in the two-step linear inequality 18 - 6y < 42, we need to isolate y. First, we subtract 18 from both sides of the inequality:

18 - 18 - 6y < 42 - 18
-6y < 24

Next, we divide both sides of the inequality by -6. Since we are dividing by a negative number, the inequality sign reverses:

-6y/-6 > 24/-6
y > -4

Therefore, the value of y in the inequality is greater than -4, so the correct answer is Option (c) y > -7.