Absolute Value Inequalities Answers
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Which statement is true?
A
The equation –3|2x + 1.2| = –1 has no solution.B
The equation 3.5|6x – 2| = 3.5 has one solution.C
The equation 5|–3.1x + 6.9| = –3.5 has two solutions.D
The equation –0.3|3 + 8x| = 0.9 has no solution.3
Which number line represents the solutions to |x – 5| = 1?
A
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 4.
B
A number line from negative 7 to 7 in increments of 1. Two points, one at 4 and one at 6.
C
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 5 and one at 1.
D
A number line from negative 7 to 7 in increments of 1. Two points, one at negative 1 and one at 5.
4
Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation |x – 500| = 8. What are the minimum and maximum distances that Morgan’s dog may be from the house?
A
496 meters and 500 metersB
500 meters and 508 metersC
492 meters and 508 metersD
496 meters and 504 meters5
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?
A
|x – 42.80| = 12B
|x + 42.80| = 12C
|x – 12| = 42.80D
|x + 12| = 42.80Did you find these answers helpful?
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