# Linear Inequalities

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A completely free math test.
Question 1
Choose the number that is a solution to the inequality $$3x-2<0$$?

Question 2
Which number is not a solution to the inequality $$1-6x>0$$?

Question 3
The inequality 4x + 2 > 16 is equivalent to:

Question 4
The inequality $$3x-7>4x-6$$ is equivalent to:

Question 5
The inequality $$\frac{x-5}{2}<\frac{5x-4}{3}$$ is not equivalent to:

Question 6
The greatest integer that is a solution to the inequality $$5-6x>2(4-x)$$ is:

Question 7
Which is the smallest integer that is a solution to the inequality $$3.2x-2>2x+0.4$$?

Question 8
Which interval is solution to $$2x-7<3x+5$$

Question 9
The solution set of inequalities $$x-3>1$$ and $$x+1\leq -1$$ is:

Question 10
Find all whole positive numbers that are solutions to the inequality $$2x-\frac{(x-3)^{2}}{2}\leq 2-\frac{(2x-3)^{2}}{8}$$:

Question 11
Find all negative whole numbers that are solutions to $$\frac{1}{2}-\left ( 2x-\frac{1}{2}(x-3)+\frac{x}{2} \right )\times 2<0$$

Question 12
The solutions to the inequality $$\left ( \frac{x}{2}-1 \right )^{2}-\frac{1}{2}\left ( 2-\frac{5x-3}{3} \right )<\frac{x^{2}+1}{4}$$ are:

Question 13
The solutions to the inequality $$\left ( x-\frac{1}{3} \right )^{2}-\left (-\frac{3}{2}+ \frac{x}{3} \right )^{2}-\frac{1}{3}\left ( -\frac{2}{3}+x \right )<2\left ( \frac{2x}{3}-5 \right )\left ( \frac{2x}{3}+5 \right )-\frac{13}{3}$$ are:

Question 14
The solutions to the inequality $$3-\frac{1}{2}\left ( \frac{1}{2}-\frac{2-\frac{x}{3}}{2} \right )>x-\frac{\frac{x}{2}-\frac{3+x}{3}}{2}$$ are:

Question 15
The solutions to the inequality $$\frac{1}{5}\times\left ( 2-x \right )^{3}+\frac{x^{2}-2x+4}{3}\times\left ( -x-2 \right )\leq \frac{x(1-x)(4+x)}{2}-\frac{x^{3}-81x^{2}+32}{30}$$
are:

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