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# Absolute Value Inequalities - Practice #2 (Grade 10)

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## Absolute Value Inequalities - Practice #2

1.
The inequality $-5|x-2|<10$ has no solutions.
1. True
2. False
2.
The solution to $-10<5|x-2|$ is all real numbers.
1. True
2. False
3.
Solve. $|x+1|<-5$
1. $x<-6 or x>4$
2. $x> -6 and x<4$
3. All real numbers
4. No solution
4.
Solve the inequality. $|f-9|>=2$
1. $7< f <11$
2. $f<7 or f>11$
3. $7<=f<=11$
4. $f<=7 or f>=11$
5.
Select the solution of $|3x + 1| < 5$.
1. $x > 2 or x < 4/3$
2. $-2 < x < 4/3$
3. $x > 4/3 or x < 2$
4. $- 4/3 or x < 2$
5. $- 4/3 < x < 2$
6.
What is the solution of $|2x - 1| >= 9$?
1. $x >= 5 or x <= - 4$
2. $- 5 <= x <= 4$
3. $x >= 4 or x <= - 5$
4. $- 4 <= x <= 5$
7.
Solve the inequality $| x - 2 | - 3 ≥ -2 .$
1. $x>=1 or x<=3$
2. $x<=1 or x>=3$
3. $x<=1 or x>=1$
4. None of the above
8.
Solve. $| (3x-5)/2 | <=4$
1. $x <= -1 or x >= 13/3$
2. $-1 <= x <= 5/3$
3. $-1 <= x <= 13/3$
4. $5/3 <= x <= 13 / 3$
9.
Given: $1/11|2x - 4| + 10 <= 11$
Find all solutions for x.
1. $-53.5 <= x <= 57.5$
2. $-57.5 <= x <= 53.5$
3. $-7/2 <= x <= 15/2$
4. $-15/2 <= x <= 7/2$
10.
Given: $|(x + 5)/3| - 3 > 6$
Find all solutions to x.
1. $x>22 or x<-32$
2. $x>32 or x<-22$
3. $x > 16 or x < -26$
4. $x>26 or x<-16$
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