Solve the following inequality for z. Write your answer in simplest form.
62 - 7 > 8z + 2

z < 6

Step-by-step explanation:

62 - 7 > 8z + 2

To solve for z, we are going to follow the steps below;

62 - 7 > 8z + 2

55 > 8z + 2

subtract 2 from both-side of the inequality

55 - 2> 8z + 2 - 2

53  > 8z

Divide both-side of the inequality by 8

53/8   > 8z/8

(On the right-hand side of the inequality, 8 on the numerator will cancel-out 8 on the denominator leaving us with just z and on the right-hand side of the inequality 53 will be divided by 8)

53/8  > z

This implies z <

                    z < 6

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step-by-step explanation:

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