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Popular >

|2x-3|<= 9

Solution

∣ 2 x - 3 ∣ \leq 9

Solution

- 3 \leq x \leq 6

+1

Interval Notation

[- 3, 6]

Solution steps

∣ 2 x - 3 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq 2 x - 3 \leq 9

2 x - 3 \geq - 9 and 2 x - 3 \leq 9

x \geq - 3 and x \leq 6

Merge Overlapping Intervals

- 3 \leq x \leq 6

Popular Examples

- 2 (3 x - 3) = 3 x

factor (xy+3x-y-3)/(xy-2x+4y-8)factor

\frac{x y + 3 x - y - 3}{x y - 2 x + 4 y - 8}

\frac{u}{4} = 72

simplify sqrt((3^{-1)+6^{-1})/(8^{-1)}}simplify

\frac{3 ^{- 1} + 6 ^{- 1}}{8 ^{- 1}}

factor 8x^2+28xy factor

8 x^{2} + 28 x y

Frequently Asked Questions (FAQ)

What is |2x-3|<= 9 ?
The solution to |2x-3|<= 9 is -3<= x<= 6