# Test: Inequalities - Ambitious

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Question 1:   Solve: $3\left(x+1\right)-2\left(x-3\right)>5$
$x>-4$
$x>-2$
$x>-1$
$x<-3$
Question 2:   Solve: $13x-15<-2\left(x+15\right)$
$x<1$
$x<2$
$x<-1$
$x>1$
Question 3:   Solve: $3x+7<8x+2$
$x>1$
$x>2$
$x>3.5$
$x<-1$
Question 4:   Solve: $\frac{1}{2}x+3\ge \frac{3}{2}\left(x-12\right)$
$x\ge 21$
$x\ge 12$
$x\le 21$
$x\le 12$
Question 5:   If $x$ is an integer, find the solution set for $-3\le x\le 5$
$\left\{-3,-2,-1,0,1,2,3,4,5\right\}$
$\left\{-4,-3,-2,-1,0,1,2,3,4\right\}$
$\left\{-2,-1,0,1,2,3,4\right\}$
$\left\{-1,0,1,2,3,4,5,6,7\right\}$
Question 6:   If $x$ is an integer, find the solution set for $1
$\left\{2\right\}$
$\left\{0,1,2\right\}$
$\left\{1,2,3\right\}$
$\left\{1,2\right\}$
Question 7:   If $x$ is an integer, find the solution set for $2\le 2x+3\le 7$
$\left\{-2,-1,0,1,2,3\right\}$
$\left\{-1,0,1,2\right\}$
$\left\{0,1\right\}$
$\left\{0,1,2\right\}$
Question 8:   If $x$ is an integer, find the solution set for $-2<3x+9<12$
$\left\{-2,-1,0,1\right\}$
$\left\{-2,-1,0,1,2\right\}$
$\left\{-4,-3,-2,-1,0,1\right\}$
$\left\{-3,-2,-1,0\right\}$
Question 9:   Solve and sketch a graph for $3x+5y-10<0$
$y>x+2$
$y<\frac{2}{5}x+1$
$y<-\frac{2}{3}x-1$
$y<-\frac{3}{5}x+2$
Question 10:   Solve and sketch a graph for $2y-4x+7\ge 0$
$y\ge x-2.5$
$y\le -2x+1$
$y\ge 2x-3.5$
$y\ge 1.5x-4$