Question 1.
1.
Find x such that $\vert x-2 \vert \geq 4$
Question 2.
2.
Find x such that $\vert \vert x-2 \vert – 1\vert \geq 3$
Question 3.
3.
Find x such that $\cfrac{\vert x+3 \vert + x}{x+2} \gt 1$
Question 4.
4.
Find x such that $\cfrac{x^2 -7\vert x\vert + 10}{x^2-6x+9} \lt 0$
Question 5.
5.
Find x such that $\left \lvert \cfrac{x^2 -5x + 4}{x^2-4} \right \rvert\leq 1$
Question 6.
6.
Find x such that $\vert x^2 +6x + 6\vert $ $=\vert x^2+4x+9\vert + \vert 2x-3 \vert $
Question 7.
7.
Find x such that $\vert x^2 +3x\vert \gt 2 – x^2$
Question 8.
8.
Solve the two equations simultaneously $\vert x^2 – 4x \vert \lt 5$ and $\vert x+1 \vert \lt 3 $
Question 9.
9.
Find x such that $\vert x^2 +x\vert \gt \vert x^2 + 5x -8 \vert$
Question 10.
10.
Find x such that $\vert x \vert +\left \lvert \cfrac{x}{x-1} \right \rvert = \cfrac{x^2}{\vert x – 1 \vert}$