What is sqrt(x+7)-3>6 ?

The solution to sqrt(x+7)-3>6 is x>74

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sqrt(x+7)-3>6

x + 7 - 3 > 6

x > 74

Interval Notation

(74, \infty)

Solution steps

x + 7 - 3 > 6

Move

3

to the right side

x + 7 > 9

Square both sides

(x + 7)^{2} > 9^{2}

Simplify

x + 7 > 81

Move

7

to the right side

x > 74

Find singularity points

Find non-negative values for radicals:

x \geq - 7

Combine the intervals

x > 74 and x \geq - 7

Merge Overlapping Intervals

x > 74

\frac{7 !}{6 ! ( 7 - 6 ) !}

3 - 8 c = 35

64 x^{2} - y^{2}

(x - 1) (x + 3) (x + 4) \geq 0

- 6 x - 1 \leq 23