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Popular >

|3d-1|+6<= 7

Solution

∣ 3 d - 1 ∣ + 6 \leq 7

Solution

0 \leq d \leq \frac{2}{3}

+2

Interval Notation

[0, \frac{2}{3}]

Decimal Notation

0 \leq d \leq 0.66666 \dots

Solution steps

∣ 3 d - 1 ∣ + 6 \leq 7

Move

6

to the right side

∣ 3 d - 1 ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq 3 d - 1 \leq 1

3 d - 1 \geq - 1 and 3 d - 1 \leq 1

d \geq 0 and d \leq \frac{2}{3}

Merge Overlapping Intervals

0 \leq d \leq \frac{2}{3}

Popular Examples

\frac{y}{- 7} - 0.5 \geq - 2

2(y+5)-4(7-3y)=-74

2 (y + 5) - 4 (7 - 3 y) = - 74

3 x = 21

simplify-1/(1/2)simplify

- \frac{1}{\frac{1}{2}}

|(3x-2)/(2x+1)|<= 1

\frac{3 x - 2}{2 x + 1} \leq 1

Frequently Asked Questions (FAQ)

What is |3d-1|+6<= 7 ?
The solution to |3d-1|+6<= 7 is 0<= d<= 2/3