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Popular >

|((3X-1))/(X+7)|<3

Solution

\frac{( 3 X - 1 )}{X + 7} < 3

Solution

X > - \frac{10}{3}

+2

Interval Notation

(- \frac{10}{3}, \infty)

Decimal Notation

X > - 3.33333 \dots

Solution steps

\frac{3 X - 1}{X + 7} < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < \frac{3 X - 1}{X + 7} < 3

\frac{3 X - 1}{X + 7} > - 3 and \frac{3 X - 1}{X + 7} < 3

(X < - 7 or X > - \frac{10}{3}) and X > - 7

Merge Overlapping Intervals

X > - \frac{10}{3}

Popular Examples

simplify 1/2+1/4+1/8+1/16+1/32 simplify

\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32}

factor-3x^2+5x+2 factor

- 3 x^{2} + 5 x + 2

3 d^{2} - 11 d + 8 = 6

x^{2} + 3 x - 3 = 0

simplify-9/6+(-3/5)simplify

- \frac{9}{6} + (- \frac{3}{5})

Frequently Asked Questions (FAQ)

What is |((3X-1))/(X+7)|<3 ?
The solution to |((3X-1))/(X+7)|<3 is X>-10/3