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Popular >

6+|4x-1|<= 9

Solution

6 + ∣ 4 x - 1 ∣ \leq 9

Solution

- \frac{1}{2} \leq x \leq 1

+2

Interval Notation

[- \frac{1}{2}, 1]

Decimal Notation

- 0.5 \leq x \leq 1

Solution steps

6 + ∣ 4 x - 1 ∣ \leq 9

Move

6

to the right side

∣ 4 x - 1 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq 4 x - 1 \leq 3

4 x - 1 \geq - 3 and 4 x - 1 \leq 3

x \geq - \frac{1}{2} and x \leq 1

Merge Overlapping Intervals

- \frac{1}{2} \leq x \leq 1

Popular Examples

simplify 5/4*4/7*3/5 simplify

\frac{5}{4} \cdot \frac{4}{7} \cdot \frac{3}{5}

factor 6k^2-60k+144 factor

6 k^{2} - 60 k + 144

((x+2)^2)/9 = 7/9-((x+3)(x-3))/5

\frac{( x + 2 ) ^{2}}{9} = \frac{7}{9} - \frac{( x + 3 ) ( x - 3 )}{5}

simplify 24-6 simplify

24 - 6

6 a - 9 = 93

Frequently Asked Questions (FAQ)

What is 6+|4x-1|<= 9 ?
The solution to 6+|4x-1|<= 9 is -1/2 <= x<= 1