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1 vote
7. Solve: 4(x + 3) ≤ 44X ≤ 8X≥ 8x ≥ 16x ≤ 16

User Jamesc
by
6.3k points

1 Answer

2 votes

We have the following inequality:


4(x+3)\leq44

And we have to solve it for x.

To solve the inequality, we can proceed as follows:

1. Apply the distributive property at the left side of the inequality:


\begin{gathered} 4(x)+4(3)\leq44 \\ \\ 4x+12\leq44 \end{gathered}

2. Subtract 12 from both sides of the inequality:


\begin{gathered} 4x+12-12\leq44-12 \\ \\ 4x\leq32 \end{gathered}

3. Divide both sides of the inequality by 4 as follows:


\begin{gathered} (4x)/(4)\leq(32)/(4) \\ \\ x\leq8 \end{gathered}

Therefore, in summary, the solution for the inequality is:


x\leq8

[First option]

User Avimoondra
by
6.2k points
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