# Linear Inequalities

A completely free math test.
Problem #1
Which number is a solution to the inequality $3x-2<0$?

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

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

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

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

Problem #6
The greatest solution to the inequality $5-6x>2(4-x)$ is:

Problem #7
Which is the smallest number that is a solution to the inequality $3.2x-2>2x+0.4$

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

Problem #9
The solutions to the inequality $\frac{3x-1}{4} are included in:

Problem #10
The solution set of inequalities $x-3>1$ and $x+1\leq -1$ is:

Problem #11
The solution set of both inequalities $\frac{3x-1}{4} and $5(x-\frac{1}{2})+2x-\frac{7}{2}<(x+3.5)\times 3$ is:

Problem #12
Find all whole positive numbers that are solutions to the inequality $2x-\frac{(x-3)^{2}}{2}\leq 2-\frac{(2x-3)^{2}}{8}$:

Problem #13
Find all negative whole numbers that are solutions to $\frac{1}{2}-\left ( 2x-\frac{1}{2}(x-3)+\frac{x}{2} \right ).2<0$

Problem #14
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:

Problem #15
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:

Problem #16
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:

Problem #17
The solutions to the inequality $\frac{1}{5}.\left ( 2-x \right )^{3}+\frac{x^{2}-2x+4}{3}.\left ( -x-2 \right )\leq \frac{x(1-x)(4+x)}{2}-\frac{x^{3}-81x^{2}+32}{30}$ are:

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