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Absolute Value Inequalities - Practice #2 (Grade 10)

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Absolute Value Inequalities - Practice #2

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

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