Algebra 2 Glencoe CCSS Edition page 37 problem 36

Question

Solve the inequality. Then graph the solution set on a number line.

(9z - 4)/5 ≤ (7z + 2)/4

Answer 1

Step:1

The inequality is .

(Apply multiplication property of inequality:

For any real number, a, b, and c: If a < b then )

                 (Multiply each side by 5)

             (Multiply each side by 4)

Step:2

                          (Apply distributive property)

(Apply addition property of inequality:

For any real number, a, b, and c: If a < b then )

       (Add 16 to each side)

Step:3

(Apply subtraction property of inequality:

For any real number, a, b, and c: If a < b then )

           (Subtract 35z from each side)

Step:4

The graph of the solution set on a number line diagram.

Note: A dot means that this point is included in the solution set.

Solution:

The solution set of the inequality is .