Solving the inequality [tex]4(9+3z)\leq 12+6z[/tex] we get [tex]z\leq -4[/tex]
Step-by-step explanation:
We need to solve the inequality [tex]4(9+3z)\leq 12+6z[/tex]
Solving:
[tex]4(9+3z)\leq 12+6z[/tex]
Multiplying 4 with terms inside the bracket.
[tex]36+12z\leq 12+6z[/tex]
Adding -36 on both sides:
[tex]12z\leq 12+6z-36[/tex]
Adding -6z on both sides
[tex]12z-6z\leq 12-36[/tex]
[tex]6z\leq -24[/tex]
Divide both sides by 6
[tex]z\leq -4[/tex]
So, solving the inequality [tex]4(9+3z)\leq 12+6z[/tex] we get [tex]z\leq -4[/tex]
Keywords: Solving inequalities
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