SOLUTION: I am a bit lost, please help me solve...
Solve the polynomial inequality and give your answer in interval form.
(x − 1)2 ≥ 4
Thank you!!!!
Algebra.Com
Question 995847: I am a bit lost, please help me solve...
Solve the polynomial inequality and give your answer in interval form.
(x − 1)2 ≥ 4
Thank you!!!!
Found 2 solutions by josgarithmetic, addingup:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
(solution removed because was wrong)
You mean maybe, ?
The critical values of x around which to check are -1, and +3. Viewing the resulting left member as a parabola, it opens upward, and has its vertex BELOW the x-axis. The inequality will be true (having solutions) for or .
You can find results numerically by checking any points in the intervals (-infinity,-1], [-1,3], and [3,infinity).
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
(x − 1)2 ≥ 4 Multiply on left
2x-2 ≥ 4 Add 2 on both sides
2x ≥ 6 Divide both sides by 2
x ≥ 3 And now we write it in interval form. We want to say that x is equal or greater than 3:
--------------
[3,∞)
------------
The bracket on the left means that 3 is INCLUDED, because the problem says that x is equal or greater than. If the problem said that x was greater than, then we would use a parenthesis. So, if it was x > 3 we would write it (3,∞)
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