Question

$\frac{3x-4}{2}\ge \frac{x+1}{4}-1$, show graph of the solution on number line.

Answer 1

$\frac{3x-4}{2}\ge \frac{x+1}{4}-1$

$\frac{3x-4}{2}\cdot 4\ge \frac{x+1}{4}\cdot 4-1\cdot 4$

$2(3x-4)\ge x+1-4$

$2(3x-4)\ge x-3$

$6x-8\ge x-3$

$6x\ge x+5$

$5x\ge 5$

$x\ge 1$

$\left[\begin{array}{cc}Solution:& x\ge 1\\ IntervalNotation:& [1,\infty )\end{array}\right]$