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Popular >

|1-5x|+5>= 7

Solution

∣ 1 - 5 x ∣ + 5 \geq 7

Solution

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

+2

Interval Notation

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

Decimal Notation

x \leq - 0.2 or x \geq 0.6

Solution steps

∣ 1 - 5 x ∣ + 5 \geq 7

Move

5

to the right side

∣ 1 - 5 x ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 5 x \leq - 2 or 1 - 5 x \geq 2

1 - 5 x \leq - 2 or 1 - 5 x \geq 2

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

Popular Examples

x^{2} + 98 = 0

1/(x-7)+1/(x+2)>= (2x)/(x^2+x-2)

\frac{1}{x - 7} + \frac{1}{x + 2} \geq \frac{2 x}{x ^{2} + x - 2}

simplify 4^1 simplify

4^{1}

T+3 T/2+((T+2))/2 T=4T^2

T + 3 \frac{T}{2} + \frac{( T + 2 )}{2} T = 4 T^{2}

2 x - 3 (x + 1) \geq 3 x

Frequently Asked Questions (FAQ)

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