5x + 38 ≤ 4(2 – 5x)?
Answer:
The value of x should be less than or equal to -6/5 or -1.2
In interval notation: (-∞,-6/5)
Step-by-step explanation:
Consider the provided inequality.
\(5x + 38 \leq 4(2 - 5x)\)
We need to solve the inequity for x.
\(5x + 38 \leq 8-20x\)
Subtract 38 from both sides.
\(5x+38-38\le \:8-20x-38\)
\(5x\le \:-20x-30\)
Add 20x to the both sides.
\(5x+20x\le \:-20x-30+20x\)
\(25x\le \:-30\)
Divide both sides by 25.
\(\frac{25x}{25}\le \frac{-30}{25}\)
\(x\le \:-\frac{6}{5}\) or \(x\le \:-1.2\)
Hence, the value of x should be less than or equal to -6/5 or -1.2