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Popular >

|7x-7|+4<7

Solution

∣ 7 x - 7 ∣ + 4 < 7

Solution

\frac{4}{7} < x < \frac{10}{7}

+2

Interval Notation

(\frac{4}{7}, \frac{10}{7})

Decimal Notation

0.57142 \dots < x < 1.42857 \dots

Solution steps

∣ 7 x - 7 ∣ + 4 < 7

Move

4

to the right side

∣ 7 x - 7 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 7 x - 7 < 3

7 x - 7 > - 3 and 7 x - 7 < 3

x > \frac{4}{7} and x < \frac{10}{7}

Merge Overlapping Intervals

\frac{4}{7} < x < \frac{10}{7}

Popular Examples

(1+0.25x)(x^1)-((-0.25x)(-1))=0

(1 + 0.25 x) (x^{1}) - ((- 0.25 x) (- 1)) = 0

3 (x - 1) = - 3

factor m^2-2m-8 factor

m^{2} - 2 m - 8

simplify (9x^4y^3)/(3x^{10)y^7}simplify

\frac{9 x ^{4} y ^{3}}{3 x ^{10} y ^{7}}

∣ 5 x - 16 ∣ = 4

Frequently Asked Questions (FAQ)

What is |7x-7|+4<7 ?
The solution to |7x-7|+4<7 is 4/7 <x< 10/7