What is the answer to 2|4z-9|=14 ?

The answer to 2|4z-9|=14 is z= 1/2 \lor z=4

Solve for z: 2|4z-9|=14

The solution is z= 1/2 \lor z=4

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2 ∣ 4 z - 9 ∣ = 14

z = \frac{1}{2} or z = 4

Decimal Notation

z = 0.5, z = 4

Solution steps

2 ∣ 4 z - 9 ∣ = 14

Divide both sides by

2

∣ 4 z - 9 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 z - 9 = - 7 or 4 z - 9 = 7

4 z - 9 = - 7 or 4 z - 9 = 7

z = \frac{1}{2} or z = 4

- \frac{r}{3} \leq 6

23 + 18 x = - 21 + 14 x

5 x^{2} - 2 x + 16 = 4 x^{2} + 6 x

10 x - 3 \geq 13 x - 8

1.7 = x \cdot (\frac{1}{2})^{\frac{15000}{24100}}