Question

What is the solution set of this inequality?
|4 – 3x| + 12 ≤ 15

Answer 1

\(\normalsize\color{black}{ \rm {Step~~1}}\)

\(\normalsize\color{blue}{ |4 – 3x| + 12 ≤ 15}\)
\(\normalsize\color{blue}{ |4 – 3x| + 12 \color{red}{-12}≤ 15\color{red}{-12}}\)
\(\normalsize\color{blue}{ |4 – 3x| ≤ 3}\)

Answer 2

\(\normalsize\color{black}{ \rm {Step~~2}}\)

\(\normalsize\color{blue}{ |4 – 3x| ≤ 3}\)
\(\normalsize\color{blue}{ |4 – 3x| ≤ 3~~~~~~~\LARGE➫}\) \(\normalsize\color{orangered}{ -3≤4 – 3x ≤ 3}\)

Answer 3

\(\normalsize\color{black}{ \rm {Step~~3}}\)

\(\normalsize\color{green}{ -3≤4 – 3x ≤ 3}\)

\(\normalsize\color{green}{ -3\color{darkgoldenrod}{-4} ≤4 – 3x \color{darkgoldenrod}{-4}≤ 3\color{darkgoldenrod}{-4}}\)

\(\normalsize\color{green}{ -7≤ – 3x ≤ -1}\)

Answer 4

then divide by `-3` and flip all signs

Answer 5

thanks a lot, I'm good.

Answer 6

G☼☼D