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Popular >

|3x+5|+1<= 9

Solution

∣ 3 x + 5 ∣ + 1 \leq 9

Solution

- \frac{13}{3} \leq x \leq 1

+2

Solution steps

∣ 3 x + 5 ∣ + 1 \leq 9

Move

1

to the right side

∣ 3 x + 5 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq 3 x + 5 \leq 8

3 x + 5 \geq - 8 and 3 x + 5 \leq 8

x \geq - \frac{13}{3} and x \leq 1

Merge Overlapping Intervals

- \frac{13}{3} \leq x \leq 1

Popular Examples

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\frac{1}{2} \cdot 12

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11 x - 6 \leq 7 x - 8 \leq 10 x - 20

factor 3y^2+24y+48 factor

3 y^{2} + 24 y + 48

-x^2-11x-30<=-2

- x^{2} - 11 x - 30 \leq - 2

z^{2} + 12 z + 21 = 0

Frequently Asked Questions (FAQ)

What is |3x+5|+1<= 9 ?
The solution to |3x+5|+1<= 9 is -13/3 <= x<= 1