Respuesta :
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.
[tex]5x + 38 \leq 4(2 - 5x)[/tex]
We need to solve the inequity for x.
[tex]5x + 38 \leq 8-20x[/tex]
Subtract 38 from both sides.
[tex]5x+38-38\le \:8-20x-38[/tex]
[tex]5x\le \:-20x-30[/tex]
Add 20x to the both sides.
[tex]5x+20x\le \:-20x-30+20x[/tex]
[tex]25x\le \:-30[/tex]
Divide both sides by 25.
[tex]\frac{25x}{25}\le \frac{-30}{25}[/tex]
[tex]x\le \:-\frac{6}{5}[/tex] or [tex]x\le \:-1.2[/tex]
Hence, the value of x should be less than or equal to -6/5 or -1.2
