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# Inequalities Questions - All Grades

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Solve the inequality.
$2 - 3x > -10$
1. $x> -4$
2. $x > 4$
3. $x < -4$
4. $x < 4$
What is the solution set to the inequality $-3x+2>=17$ ?
1. $x > -5$
2. $x>=-5$
3. $x<-5$
4. $x<=-5$
Determine the solution of the inequality. $x - 1 < - 4 or x + 2 >= 4$
1. $x < - 3 or x >= 2$
2. $x < - 5 or x >= 6$
3. $x = 1 or x = 2$
4. $x = 3 or x = - 2$
Select the solution of the following: $-5 <= -2x + 3 <= 7$
1. $x >= 4 or x <= -2$
2. $-2 <= x <= 4$
3. $-4 <= x <= -2$
4. $-4 <= x <= 2$
Solve the inequality $–3x + 8 < 11$.
1. $x<1$
2. $x<-1$
3. $x> -1$
4. $x>1$
What is the solution to $2h + 8 > 3h - 6$?
1. $h < 14$
2. $h < 14/5$
3. $h > 14$
4. $h > 14/5$
What is the solution set to the inequality $-5x-2<-22$?
1. $x>4$
2. $x<=6$
3. $x>=4$
4. $x<4$
What is the solution set of the following inequality? $X - 5 <= -12$
1. $X>=7$
2. $X>= -17$
3. $X<=-5$
4. $X<=-7$
What is the solution set for $-5x+12<=-8$?
1. $x<=-4$
2. $x<=4$
3. $x>=4$
4. $x>4$
What is the solution to the inequality below?

12x > 5(x-2)
1. x > -2/7
2. x < -2/7
3. x > -10/7
4. x < -10/7
What is the solution set for $2x>10$?
1. $x<5$
2. $x<=5$
3. $x>5$
4. $x>=5$
Solve the inequality for x:

$x + 6 < -4 or 3x >=14$
1. $x<10 or x>=14/3$
2. $<-10 or x>=14/3$
3. $x<=-10 or x>=14/3$
4. $x<-10 or x>=14/3$
Solve the inequality for x:

$8 <3x - 7 <=23$
1. $5 < x <= 10$
2. $5<=x<=10$
3. $5 < x < 10$
4. $5<=xlt10$
What is the solution set for $-4x>=20$?
1. $x>=-5$
2. $x> -5$
3. $x<=-5$
4. $x<-5$
Solve the inequality for x:
$-9 <= 4x - 3 < 13$
1. $-1.5 < x < 4$
2. $-1.5 <=x < 4$
3. $-1.5<=x<=4$
4. $-1.5 < x <= 4$
Solve the inequality for x:
$x - 7 >=-3 or -2x + 1 >=11$
1. $x>=4 or x<=-5$
2. $x>=-5 or x>=4$
3. $x>=4 or xlt-5$
4. $x>4 or x> -5$
$12 < -4(3x - 6)$
1. $x < -1$
2. $x >1$
3. $x > -1$
4. $x <1$