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Popular >

3|w+1|+5>= 7

Solution

3 ∣ w + 1 ∣ + 5 \geq 7

Solution

w \leq - \frac{5}{3} or w \geq - \frac{1}{3}

+2

Interval Notation

(- \infty, - \frac{5}{3}] \cup [- \frac{1}{3}, \infty)

Decimal Notation

w \leq - 1.66666 \dots or w \geq - 0.33333 \dots

Solution steps

3 ∣ w + 1 ∣ + 5 \geq 7

Move

5

to the right side

3 ∣ w + 1 ∣ \geq 2

Divide both sides by

3

∣ w + 1 ∣ \geq \frac{2}{3}

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

w + 1 \leq - \frac{2}{3} or w + 1 \geq \frac{2}{3}

w + 1 \leq - \frac{2}{3} or w + 1 \geq \frac{2}{3}

w \leq - \frac{5}{3} or w \geq - \frac{1}{3}

Popular Examples

1 6^{2} + 1 2^{2} = c^{2}

factor 3x^3-3 factor

3 x^{3} - 3

simplify (x^2y^3)^2 simplify

(x^{2} y^{3})^{2}

factor 2x^3-7x^2-6x+21 factor

2 x^{3} - 7 x^{2} - 6 x + 21

factor 7x^2+25x-12 factor

7 x^{2} + 25 x - 12

Frequently Asked Questions (FAQ)

What is 3|w+1|+5>= 7 ?
The solution to 3|w+1|+5>= 7 is w<=-5/3 \lor w>=-1/3