sanderrs sanderrs

09-12-2015
Mathematics

Answered

Solve the following absolute value inequality. Show your steps.

| x-5 | is Less than or equal to 7

Verified Answer :

Panoyin Panoyin

09-12-2015

|x - 5| ≤ 7
|x - 5| ≤ ±7
|x - 5| ≤ 7 or |x - 5| ≤ -7
x - 5 ≤ 7    or    x - 5 ≤ -7
    + 5 + 5    + 5 + 5
   x ≤ 12       or    x ≤ -2

Solution Set: {x| x ≤ -2} and (-∞, -2]

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