Question

Necesito ayuda con estas inecuaciones por favor

3x-1÷2≤7

2x₊1≥x₊2÷3

Ix₋1I≥4

I2xI ≤9

Answer 1

Explicación paso a paso:

$3x-1\div2\leq7\\3x\leq7+1\div2\\3x\leq7+\frac{1}{2}\\\\\boxed{7+\frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}}\\\\3x\leq\frac{15}{2}\\x\leq\frac{15}{2}*\frac{1}{3}\\x\leq\frac{5}{2}$

$2x+1\geq x+2\div3\\2x-x\geq\frac{2}{3}+1\\\\\boxed{\frac{2}{3}+1=\frac{2+3*1}{3}=\frac{5}{3}}\\\\x\geq\frac{5}{3}$

$|x-1|\geq 4\\-4\geq x-1\geq 4\\-4+1\geq x-1+1\geq 4+1\\-3\geq x\geq 5$

$|2x|\leq 9\\-9\leq 2x\leq 9\\-9*\frac{1}{2}\leq 2x*\frac{1}{2}\leq 9*\frac{1}{2}\\-\frac{9}{2}\leq x\leq \frac{9}{2}$