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Popular >

|3-5x|>= 7

Solution

∣ 3 - 5 x ∣ \geq 7

Solution

x \leq - \frac{4}{5} or x \geq 2

+2

Interval Notation

(- \infty, - \frac{4}{5}] \cup [2, \infty)

Decimal Notation

x \leq - 0.8 or x \geq 2

Solution steps

∣ 3 - 5 x ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 - 5 x \leq - 7 or 3 - 5 x \geq 7

3 - 5 x \leq - 7 or 3 - 5 x \geq 7

x \leq - \frac{4}{5} or x \geq 2

Popular Examples

x^{2} - 4 + 3 ∣ x ∣ = 1

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\frac{( 4 x ^{2} y ^{5} ) ^{2}}{( 2 x y ^{2} ) ^{3} ( 3 x ^{3} ) ^{2}}

6 a + 7 a = 26

factor 216x^3-125 factor

216 x^{3} - 125

simplify (7+6i)(7-6i)simplify

(7 + 6 i) (7 - 6 i)

Frequently Asked Questions (FAQ)

What is |3-5x|>= 7 ?
The solution to |3-5x|>= 7 is x<=-4/5 \lor x>= 2