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Popular >

|z+3|<= 2z-7

Solution

∣ z + 3 ∣ \leq 2 z - 7

Solution

z \geq 10

+1

Interval Notation

[10, \infty)

Solution steps

∣ z + 3 ∣ \leq 2 z - 7

Find positive and negative intervals

z < - 3, z \geq - 3

Solve the inequality for each interval

No Solution or z \geq 10

Merge Overlapping Intervals

z \geq 10

Popular Examples

4.7 x = 2.5 x + 8.8

2 (x + 1) = 5 - 2 x

-3/4 x>=-4/9+2/3 x

- \frac{3}{4} x \geq - \frac{4}{9} + \frac{2}{3} x

simplify (13k-13)/(3k-13)*(2k-2)/(26k)simplify

\frac{13 k - 13}{3 k - 13} \cdot \frac{2 k - 2}{26 k}

factor 6a^2-48a-120 factor

6 a^{2} - 48 a - 120

Frequently Asked Questions (FAQ)

What is |z+3|<= 2z-7 ?
The solution to |z+3|<= 2z-7 is z>= 10