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Popular >

3|7x-4|+5>17

Solution

3 ∣ 7 x - 4 ∣ + 5 > 17

Solution

x < 0 or x > \frac{8}{7}

+2

Interval Notation

(- \infty, 0) \cup (\frac{8}{7}, \infty)

Decimal Notation

x < 0 or x > 1.14285 \dots

Solution steps

3 ∣ 7 x - 4 ∣ + 5 > 17

Move

5

to the right side

3 ∣ 7 x - 4 ∣ > 12

Divide both sides by

3

∣ 7 x - 4 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

7 x - 4 < - 4 or 7 x - 4 > 4

7 x - 4 < - 4 or 7 x - 4 > 4

x < 0 or x > \frac{8}{7}

Popular Examples

x^{3} \leq 3

simplify (e^{4x})/(e^{4x)}simplify

\frac{e ^{4 x}}{e ^{4 x}}

factor 4m^2+m factor

4 m^{2} + m

factor (a-b)(2x^2+9)-(b-a)(7x-6)factor

(a - b) (2 x^{2} + 9) - (b - a) (7 x - 6)

simplify 21.58332+((8^2))/(12)simplify

21.58332 + \frac{( 8 ^{2} )}{12}

Frequently Asked Questions (FAQ)

What is 3|7x-4|+5>17 ?
The solution to 3|7x-4|+5>17 is x<0\lor x> 8/7