Question

8-(2/3)z <= 2

Answer 1

8-((2)/(3))*z<=2

Multiply the factor by the rest of the expression to remove the fraction from the denominator. To multiply by a factor in the denominator, multiply by 1 over the factor.
8-(2)/(3)*z<=2

Multiply -(2)/(3) by z to get -(2z)/(3).
8-(2z)/(3)<=2

Since 8 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 8 from both sides.
-(2z)/(3)<=-8+2

Add 2 to -8 to get -6.
-(2z)/(3)<=-6

Multiply each term in the inequality by 3.
-(2z)/(3)*3<=-6*3

Simplify the left-hand side of the inequality by canceling the common factors.
-2z<=-6*3

Multiply -6 by 3 to get -18.
-2z<=-18

Divide each term in the inequality by -2. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
-(2z)/(-2)>=-(18)/(-2)

Simplify the left-hand side of the inequality by canceling the common factors.
z>=-(18)/(-2)

Simplify the right-hand side of the inequality by simplifying each term.
z>=9

Answer 2

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