| $$(a)\ \left | x \right |\geq 6$$ | $$(b)\ \left | x+1 \right |>0$$ | $$(c)\ | x-3 |<2$$ |
| $$(d)\ | x+3 |>4$$ | $$(e)\ | x+2 |<-1$$ | $$(f)\ | x-5 |\leq3$$ |
| $$(g)\ | x+5 |\leq7$$ | $$(h)\ | x-\sqrt{3} |>2+5\sqrt{3}$$ | $$(i)\ | 2x+1 |<5$$ |
| $$(j)\ | 5x-3 |<0$$ | $$(k)\ | 3x-1 |\leq5$$ | $$(l)\ | 2x-3 |\geq6$$ |
| $$(a)\ x\in(-\infty ;-6\rangle\cup\langle6;\infty)$$ | $$(b)\ x\in\mathbb{R}\setminus\left \{ -1 \right \}$$ | $$(c)\ x\in\left ( 1;5 \right )$$ |
| $$(d)\ x\in\left (-\infty; -7;\right )\cup(1;\infty)$$ | $$(e)\ x\in\varnothing$$ | $$(f)\ x\in\left \langle 2;8 \right \rangle$$ |
| $$(g)\ x\in\left \langle -12;2 \right \rangle$$ | $$(h)\ x\in\left ( -\infty;-2-4\sqrt{3} \right )\cup \left ( 2+6\sqrt{3};\infty \right )$$ | $$(i)\ x\in\left ( -3;2 \right )$$ |
| $$(j)\ x\in\varnothing$$ | $$(k)\ x\in\left \langle -\frac{4}{3};2 \right \rangle$$ | $$(l)\ x\in\left(\-\infty;-\frac{3}{2}\right\rangle\cup\left\langle\frac{9}{2};\infty\right)$$ |
| $$(a)\ 2x-3 \geq|x-2|$$ | $$(b)\ |2x-3|-5 \leq x+1$$ |
| $$(c)\ |3x-1|< x$$ | $$(d)\ |x-3|+x< 5$$ |
| $$(a)\ x\in\left\langle \frac53;-\infty\right)$$ | $$b)\ x\in\left \langle -1;9 \right \rangle$$ |
| $$c)\ x\in\left ( \frac{1}{4};\frac{1}{2} \right )$$ | $$d)\ x\in\left ( -\infty;4\right )$$ |
| $$(a)\ |x+3|>|x-2|$$ | $$(b)\ |2x-1|<|x+1|$$ |
| $$(c)\ |3x-2|<5+|x+1|$$ | $$(d)\ |x+1|\leq 2|x|$$ |
| $$(e)\ |x|+|x-1|\geq 2$$ | $$(f)\ |1-x|>3|x+3|$$ |
| $$(g)\ |x|+|x-3|>10$$ | $$(h)\ 6-|x+2|\leq 3|x-1|$$ |
| $$a)\ x\in\left (-\frac12;\infty \right )$$ | $$b)\ x\in\left (0;2 \right )$$ |
| $$c)\ x\in\left (-1;4 \right )$$ | $$d)\ x\in \left ( -\infty;-\frac13\right\rangle\cup\left\langle1 ;\infty\right )$$ |
| $$e)\ x\in \left ( -\infty;-\frac12\right\rangle\cup\left\langle \frac32 ;\infty\right )$$ | $$f)\ x\in \left (-5;-2\right )$$ |
| $$g)\ x\in \left (-\infty;-\frac72\right )\cup\left ( \frac{13}{2};\infty \right )$$ | $$h)\ x\in \left (-\infty;-\frac12\right\rangle \cup\left \langle \frac74;\infty \right )$$ |
| $$(a)\ |x-1|+|2-x|>3+x$$ | $$(b)\ |x|-|x-5|\geq4(x-3)$$ |
| $$(c)\ |2x+3|\leq4+|x|$$ | $$(d)\ 3|x-1|-2|x+4|<6x-2$$ |
| $$(e)\ |2x-1|-|x+3|<$$ | $$(f)\ |3-|2-x||\leq2$$ |
| $$(g)\ |x-1|+|4-x|>x+2$$ | $$(h)\ ||x+4|-|x||>2|x|$$ |
| $$(i)\ |x-3|+3|x-1|<2x+1$$ | $$(j)\ |x+1|+|x|+|x-3|>2$$ |
| $$a)\ x\in\left (-\infty;0 \right )\cup\left (6;\infty \right )$$ | $$b)\ x\in\left (-\infty;\frac72 \right \rangle$$ |
| $$c)\ x\in\left \left \langle -7;1 \right \rangle$$ | $$d)\ x\in\left (-\frac3{11};\infty \right )$$ |
| $$e)\ x\in\left (-\frac23;4 \right )$$ | $$f)\ x\in \left \langle -3;1 \right \rangle\cup\left \langle 3;7 \right \rangle$$ |
| $$g)\ x\in \left (-\infty;1 \right )\cup\left (7;\infty \right )$$ | $$h)\ x\in \left (-1;2 \right )$$ |
| $$i)\ x\in \left (\frac56;\frac72 \right )$$ | $$j)\ x\in \mathbb{R}$$ |
| $$(a)\ |2x-4|+|3x+6|-|5x-2|\leq8-4x$$ | $$(b)\ 2|x-1|-3|x+2|<3x-|x|$$ |
| $$(c)\ 5|x-1|-3|x-2|+|x-4|+x-5>0$$ | $$(d)\ 0<|x-5|\leq3$$ |
| $$(e)\ 2\leq|x-4|<5$$ | $$(f)\ 3<|2x+4|<10$$ |
| $$(g)\ \left\{\begin{array}{l}|x-3|+2|x+1|>4\\|1+2x|-5\leq x\end{array}\right.$$ |
| $$a)\ x\in \left \langle \frac43;\infty \right)$$ | $$b)\ x\in \left (-\frac49;\infty \right)$$ |
| $$c)\ x\in (-\infty;1)\cup\left(\frac32;\infty \right)$$ | $$d)\ x\in \left \langle2;5)\cup(5;8 \right \rangle$$ |
| $$e)\ x\in \left (-1;2\rangle \cup\langle6;9 \right )$$ | $$f)\ x\in \left (-7;-\frac72 \right ) \cup\left (-\frac12;3 \right )$$ |
| $$g)\ x\in \left \langle -2;-1)\cup(-1;4 \right \rangle$$ |
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