# Test: Inequalities II - Challenging

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Question 1:   Solve the inequality: $8x\ge 10$
$x\ge 2$
$x\le 1.25$
$x\le 2$
$x\ge 1.25$
Question 2:   Solve the inequality:$\frac{1}{2}y-3\le 5$
$y\le -16$
$y\ge -16$
$y\ge 16$
$y\le 16$
Question 3:   Solve the inequality: $-10x<-5x+3$
$x>-\frac{3}{5}$
$x\le \frac{3}{5}$
$x>\frac{3}{5}$
$x\ge \frac{3}{5}$
Question 4:   Solve the inequality: $-4\left(x+3\right)\ge x$
$x\ge 2.4$
$x\le -2.4$
$x\le 2.4$
$x\ge -2.4$
Question 5:   Solve the inequality: $\frac{2x+1}{6}\ge \frac{x-2}{3}$
 $x\ge -5$
$x\le 5$
no solution
$x\ge 0$
Question 6:   Solve the inequality: $2\left(2-y\right)\ge 12-8y-11$
$y\le \frac{1}{2}$
$y\le -\frac{1}{2}$
$y\ge \frac{1}{2}$
$y\ge -\frac{1}{2}$
Question 7:   Solve the inequality: ${x}^{2}-4\le 0$
$x\le -4\cup x\ge 4$
$-4\le x\le 4$ 
$x\le -2\cup x\ge 2$
$-2\le x\le 2$
Question 8:   Solve the inequality: $x\left(x+6\right)\ge 3x$
$-3\le x\le 3$
$x\le -3\cup x\ge 3$
$x\le 3$
$x\ge -3$
Question 9:   Find the domain of a function:$y=\sqrt{10x+15{x}^{2}}$
$x\ge 1.5$
$x\le 0$
$x\le -1.5\cup x\ge 0$
$-1.5\le x\le 0$
Question 10:   Find the smallest integer that satisfies the inequality: $\frac{1-3x}{5}+4\le \frac{8-x}{2}$
$3$
$2$
no solution
$-2$