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Popular >

1/7 |4z+5|+2>5

Solution

\frac{1}{7} ∣ 4 z + 5 ∣ + 2 > 5

Solution

z < - \frac{13}{2} or z > 4

+2

Interval Notation

(- \infty, - \frac{13}{2}) \cup (4, \infty)

Decimal Notation

z < - 6.5 or z > 4

Solution steps

\frac{1}{7} ∣ 4 z + 5 ∣ + 2 > 5

Move

2

to the right side

\frac{1}{7} ∣ 4 z + 5 ∣ > 3

Multiply both sides by

7

∣ 4 z + 5 ∣ > 21

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

4 z + 5 < - 21 or 4 z + 5 > 21

4 z + 5 < - 21 or 4 z + 5 > 21

z < - \frac{13}{2} or z > 4

Popular Examples

x^{2} + 5 x - 5000 = 0

\frac{9}{14} y = \frac{3}{7}

simplify-(40)/((5(5)-4)^2)simplify

- \frac{40}{( 5 ( 5 ) - 4 ) ^{2}}

factor x^3+10x^2+16x factor

x^{3} + 10 x^{2} + 16 x

simplify pi/(12)+pi/(12)simplify

\frac{π}{12} + \frac{π}{12}

Frequently Asked Questions (FAQ)

What is 1/7 |4z+5|+2>5 ?
The solution to 1/7 |4z+5|+2>5 is z<-13/2 \lor z>4