What is 2sqrt(5x-6)-1<5 ?

The solution to 2sqrt(5x-6)-1<5 is 6/5 <= x<3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sqrt(5x-6)-1<5

2 5 x - 6 - 1 < 5

\frac{6}{5} \leq x < 3

Interval Notation

[\frac{6}{5}, 3)

Decimal Notation

1.2 \leq x < 3

Solution steps

2 5 x - 6 - 1 < 5

Move

1

to the right side

2 5 x - 6 < 6

Divide both sides by

2

5 x - 6 < 3

Square both sides

(5 x - 6)^{2} < 3^{2}

Simplify

5 x - 6 < 9

5 x - 6 < 9 : x < 3

x < 3

Find singularity points

Find non-negative values for radicals:

x \geq \frac{6}{5}

Combine the intervals

x < 3 and x \geq \frac{6}{5}

Merge Overlapping Intervals

\frac{6}{5} \leq x < 3

\frac{3}{4} = 1 - \frac{x}{2}

5 x^{2} - 12 = 28 x

- 6 x^{2} - 96 x + 13 = 13

(2 + 5 i)^{2}

- 8 \leq x \leq - 3