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Popular >

|6-7x|+5>= 7

Solution

∣ 6 - 7 x ∣ + 5 \geq 7

Solution

x \leq \frac{4}{7} or x \geq \frac{8}{7}

+2

Interval Notation

(- \infty, \frac{4}{7}] \cup [\frac{8}{7}, \infty)

Decimal Notation

x \leq 0.57142 \dots or x \geq 1.14285 \dots

Solution steps

∣ 6 - 7 x ∣ + 5 \geq 7

Move

5

to the right side

∣ 6 - 7 x ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

6 - 7 x \leq - 2 or 6 - 7 x \geq 2

6 - 7 x \leq - 2 or 6 - 7 x \geq 2

x \leq \frac{4}{7} or x \geq \frac{8}{7}

Popular Examples

factor 10xy+15xy^2 factor

10 x y + 15 x y^{2}

2+5(p-1)=5p-(p-2)

2 + 5 (p - 1) = 5 p - (p - 2)

14 = 2 x^{2} - 12 x

simplify-2/3*1/2+2/3*1/2*1/5 simplify

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

3 ∣ 2 x - 5 ∣ \geq 8

Frequently Asked Questions (FAQ)

What is |6-7x|+5>= 7 ?
The solution to |6-7x|+5>= 7 is x<= 4/7 \lor x>= 8/7