Question

Find the value of x, and plot it in a cartesian plain:
10x + 75 ≤ 125 - 10x

Answer 1

Answer:

$10x+75\le \:125-10x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \dfrac{5}{2}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.5\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\dfrac{5}{2}]\end{bmatrix}$

Step-by-step explanation:

$10x+75\le \:125-10x$

$\mathrm{Subtract\:}75\mathrm{\:from\:both\:sides}$

$10x+75-75\le \:125-10x-75$

$\mathrm{Simplify}$

$10x\le \:-10x+50$

$\mathrm{Add\:}10x\mathrm{\:to\:both\:sides}$

$10x+10x\le \:-10x+50+10x$

$\mathrm{Simplify}$

$20x\le \:50$

$\mathrm{Divide\:both\:sides\:by\:}20$

$\dfrac{20x}{20}\le \dfrac{50}{20}$

$\mathrm{Simplify}$

$x\le \dfrac{5}{2}$