SOLUTION: The solution of the inequality sqrt( 5-x ) < x+1 is (a) < x ≤ (b)
What are a and b?
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Question 878378: The solution of the inequality sqrt( 5-x ) < x+1 is (a) < x ≤ (b)
What are a and b?
Found 2 solutions by josgarithmetic, Fombitz:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
After trying to answer this one and finding that x is not between any two domain values, the inequality does not conform to what you want. The only meaningful critical point is x=1. The inequality becomes true for x<1. Your "b" is 1. The statement has no specific value as a cutoff for "a".
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The solution for this is and .
However the negative solutions do not solve the equation, they only do so when the two sides are squared so only is accepted as a solution.
.
.
.
In addition, we have an additional constraint with the square root function.
So putting those together, the solution region is,
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