Question

2/3x+5<1/2x+6,x€w
solve it pls????​

Answer 1

Answer:

x≤6

Step-by-step explanation:

$\frac{2}{3}x+5\le \frac{1}{2}x+6\\\frac{2}{3}x+5-5\le \frac{1}{2}x+6-5\\\frac{2}{3}x\le \frac{1}{2}x+1\\\frac{2}{3}x-\frac{1}{2}x\le \frac{1}{2}x+1-\frac{1}{2}x\\\frac{1}{6}x\le \:1\\6\cdot \frac{1}{6}x\le \:1\cdot \:6\\x\le \:6$

Answer 2

Answer:

Step-by-step explanation:

$\frac{2x}{3} +5 \leq \frac x2+6\\\\Multiplying \ both \ sides\ by\ 6\, ( LCM \ of \ 2 \ and \ 3)\\\\4x+30 \leq 3x +36\\\\(4x-3x)+(30-30) \leq (3x-3x) +(36-30)\\\\4x-3x\leq 36-30\\\\x \leq 6$

Presentation of x on number line is attached