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Popular >

|3x+2|+1<= 9

Solution

∣ 3 x + 2 ∣ + 1 \leq 9

Solution

- \frac{10}{3} \leq x \leq 2

+2

Interval Notation

[- \frac{10}{3}, 2]

Decimal Notation

- 3.33333 \dots \leq x \leq 2

Solution steps

∣ 3 x + 2 ∣ + 1 \leq 9

Move

1

to the right side

∣ 3 x + 2 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq 3 x + 2 \leq 8

3 x + 2 \geq - 8 and 3 x + 2 \leq 8

x \geq - \frac{10}{3} and x \leq 2

Merge Overlapping Intervals

- \frac{10}{3} \leq x \leq 2

Popular Examples

64 = - 16 t^{2} + 64 t

∣ 3 x + 2 ∣ < 14

factor 9t^2-42t+49 factor

9 t^{2} - 42 t + 49

factor 64y^4+y factor

64 y^{4} + y

simplify (x^2)/(x^6)simplify

\frac{x ^{2}}{x ^{6}}

Frequently Asked Questions (FAQ)

What is |3x+2|+1<= 9 ?
The solution to |3x+2|+1<= 9 is -10/3 <= x<= 2