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Popular >

|2z-9|<= 1

Solution

∣ 2 z - 9 ∣ \leq 1

Solution

4 \leq z \leq 5

+1

Interval Notation

[4, 5]

Solution steps

∣ 2 z - 9 ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq 2 z - 9 \leq 1

2 z - 9 \geq - 1 and 2 z - 9 \leq 1

z \geq 4 and z \leq 5

Merge Overlapping Intervals

4 \leq z \leq 5

Popular Examples

factor-2x^5+9x^3y-2x^3-9xy^2+3xy factor

- 2 x^{5} + 9 x^{3} y - 2 x^{3} - 9 x y^{2} + 3 x y

factor (x^2+xy^2)^2-(xy-y^2)^2 factor

(x^{2} + x y^{2})^{2} - (x y - y^{2})^{2}

5+3x<= 2\lor 2x-7>1

5 + 3 x \leq 2 or 2 x - 7 > 1

factor 3a^2+8a+4 factor

3 a^{2} + 8 a + 4

2 x - 5 > - 6

Frequently Asked Questions (FAQ)

What is |2z-9|<= 1 ?
The solution to |2z-9|<= 1 is 4<= z<= 5