Question

Which of the followeing represents the solution... 4(9+3z)≤12+6z

Answer 1

Solving the inequality $4(9+3z)\leq 12+6z$ we get $z\leq -4$

Step-by-step explanation:

We need to solve the inequality $4(9+3z)\leq 12+6z$

Solving:

$4(9+3z)\leq 12+6z$

Multiplying 4 with terms inside the bracket.

$36+12z\leq 12+6z$

Adding -36 on both sides:

$12z\leq 12+6z-36$

Adding -6z on both sides

$12z-6z\leq 12-36$

$6z\leq -24$

Divide both sides by 6

$z\leq -4$

So, solving the inequality $4(9+3z)\leq 12+6z$ we get $z\leq -4$

Keywords: Solving inequalities

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