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Popular >

|6x-3|<= 9

Solution

∣ 6 x - 3 ∣ \leq 9

Solution

- 1 \leq x \leq 2

+1

Interval Notation

[- 1, 2]

Solution steps

∣ 6 x - 3 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq 6 x - 3 \leq 9

6 x - 3 \geq - 9 and 6 x - 3 \leq 9

x \geq - 1 and x \leq 2

Merge Overlapping Intervals

- 1 \leq x \leq 2

Popular Examples

(2x-8)/((x-2)(x-8))<0

\frac{2 x - 8}{( x - 2 ) ( x - 8 )} < 0

simplify 2log_{10}(5)+log_{10}(4)simplify

2 lo g_{10} (5) + lo g_{10} (4)

1/2 x^2+1/10 x-1=0

\frac{1}{2} x^{2} + \frac{1}{10} x - 1 = 0

simplify ((7/3*9-18*(1/3)^2))/(4+7/3)simplify

\frac{( \frac{7}{3} \cdot 9 - 18 \cdot ( \frac{1}{3} ) ^{2} )}{4 + \frac{7}{3}}

36 x^{2} - 12 x + 1 = 0

Frequently Asked Questions (FAQ)

What is |6x-3|<= 9 ?
The solution to |6x-3|<= 9 is -1<= x<= 2