sqrt(x)<7

Solution

x < 7

0 \leq x < 49

Interval Notation

[0, 49)

Solution steps

x < 7

Square both sides

(x)^{2} < 7^{2}

Simplify

x < 49

Find singularity points

Find non-negative values for radicals:

x \geq 0

Combine the intervals

x < 49 and x \geq 0

Merge Overlapping Intervals

0 \leq x < 49

- 18 \leq 9 x

x = 3 x - (17 + 2 x)

16 x^{2} - 40 x = - 27

x^{2} - 6 x > 7

x^{2} - ∣ 5 x + 6 ∣ = 0