Types of Inequalities

Find the solution of $ax\le 1$.

Solve: $(x-3)<\sqrt{x^2+4x-5}$.

Write the set of values of $x$ satisfying the inequation $\sqrt[3]{(x-4)\left(x-7\right)}\ge 2^{\frac{2}{3}}$.

Define strict inequality. Find the solution of $x-2<7$.

Define strict inequality. Find the solution of $x-2>7$.

Define strict inequality. Find the solution of $x+5>9$.

Define strict inequality. Find the solution of $x+3>6$.

Define strict inequality. Find the solution of $x+2>4$.

Define slack inequality. Find the solution of $x-3\ge 6$.

Define slack inequality. Find the solution of $x-5\ge 9$.

Define slack inequality. Find the solution of $x+5\ge 9$.

Define slack inequality. Find the solution of $x+3\ge 6$.

Define slack inequality. Find the solution of $x+2\ge 4$.

Write the solution set of $\left|x+\frac{1}{x}\right|>2$.

Write the set of values of $x$ satisfying the inequation $\left(x^2-2x+1\right)(x-4)\ge 0$.

Write the solution set of the inequation $x+\frac{1}{x}\ge 2$.

Write the solution set of the inequality,$\frac{x^2}{x-2}>0$

If $\left|x\right|\ge 3$, then $x\in$

If $\left|x\right|<4$, then $x\in$

The solution of $\frac{2}{x-5}<0$ is