Solving Inequalities Practice Questions

Solve $5(2x + 3) > 3(x - 2) + 7$

Solve $\dfrac{4 - 3x}{2} > 8$

$n$ is an integer such that

$$2n^2 - 7 < 43 \qquad \text{and} \qquad n > -3$$

Work out all the possible values of $n$.

Solve $2x^2 + 5x \le 12$

Give your answer in the form $a \le x \le b$

Work out the range of possible values of $x$.

Give your answer in the form $a < x < b$ where $a$ and $b$ are both integers.

You must show your working.

Work out the value of $b$ and the value of $c$.

Solve $\dfrac{12}{x} - x > 1$ where $x$ is positive.

Give your answer in the form $a < x < b$