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Popular >

|3-5x|+2>= 7

Solution

∣ 3 - 5 x ∣ + 2 \geq 7

Solution

x \leq - \frac{2}{5} or x \geq \frac{8}{5}

+2

Interval Notation

(- \infty, - \frac{2}{5}] \cup [\frac{8}{5}, \infty)

Decimal Notation

x \leq - 0.4 or x \geq 1.6

Solution steps

∣ 3 - 5 x ∣ + 2 \geq 7

Move

2

to the right side

∣ 3 - 5 x ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 - 5 x \leq - 5 or 3 - 5 x \geq 5

3 - 5 x \leq - 5 or 3 - 5 x \geq 5

x \leq - \frac{2}{5} or x \geq \frac{8}{5}

Popular Examples

k/4 >= 1\lor k/3 <=-1

\frac{k}{4} \geq 1 or \frac{k}{3} \leq - 1

3 s + 4 \geq 10

- 5 x + 2 - x + 1 = 0

9 g^{2} - 12 g + 4 = 0

simplify 1+2/(3+\frac{5){1-1/3}}simplify

1 + \frac{2}{3 + \frac{5}{1 - \frac{1}{3}}}

Frequently Asked Questions (FAQ)

What is |3-5x|+2>= 7 ?
The solution to |3-5x|+2>= 7 is x<=-2/5 \lor x>= 8/5