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Popular >

6-6|-7+x|>3

Solution

6 - 6 ∣ - 7 + x ∣ > 3

Solution

\frac{13}{2} < x < \frac{15}{2}

+2

Interval Notation

(\frac{13}{2}, \frac{15}{2})

Decimal Notation

6.5 < x < 7.5

Solution steps

6 - 6 ∣ - 7 + x ∣ > 3

Move

6

to the right side

- 6 ∣ - 7 + x ∣ > - 3

Multiply both sides by

- 1

6 ∣ - 7 + x ∣ < 3

Divide both sides by

6

∣ - 7 + x ∣ < \frac{1}{2}

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \frac{1}{2} < - 7 + x < \frac{1}{2}

- 7 + x > - \frac{1}{2} and - 7 + x < \frac{1}{2}

x > \frac{13}{2} and x < \frac{15}{2}

Merge Overlapping Intervals

\frac{13}{2} < x < \frac{15}{2}

Popular Examples

simplify (10!)/((10-4)!4!)simplify

\frac{10 !}{( 10 - 4 ) ! 4 !}

- 30 < \frac{x}{- 4}

1/4+(2z-(3z-1)/8)= 2/3 ((z+2)/6)-2z

\frac{1}{4} + (2 z - \frac{3 z - 1}{8}) = \frac{2}{3} (\frac{z + 2}{6}) - 2 z

(3x-6)/9 = 36/5

\frac{3 x - 6}{9} = \frac{36}{5}

simplify 7*8 simplify

7 \cdot 8

Frequently Asked Questions (FAQ)

What is 6-6|-7+x|>3 ?
The solution to 6-6|-7+x|>3 is 13/2 <x< 15/2