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Popular >

|4x-7|-5>= 1

Solution

∣ 4 x - 7 ∣ - 5 \geq 1

Solution

x \leq \frac{1}{4} or x \geq \frac{13}{4}

+2

Interval Notation

(- \infty, \frac{1}{4}] \cup [\frac{13}{4}, \infty)

Decimal Notation

x \leq 0.25 or x \geq 3.25

Solution steps

∣ 4 x - 7 ∣ - 5 \geq 1

Move

5

to the right side

∣ 4 x - 7 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 7 \leq - 6 or 4 x - 7 \geq 6

4 x - 7 \leq - 6 or 4 x - 7 \geq 6

x \leq \frac{1}{4} or x \geq \frac{13}{4}

Popular Examples

180 - (2 x + 6) = 80

simplify ((2x^5y^8)/(5x^6y^5))^2 simplify

(\frac{2 x ^{5} y ^{8}}{5 x ^{6} y ^{5}})^{2}

p^{2} + 2 p - 13 = - 5

simplify sqrt(528)simplify

528

factor 3x^2+30x+75 factor

3 x^{2} + 30 x + 75

Frequently Asked Questions (FAQ)

What is |4x-7|-5>= 1 ?
The solution to |4x-7|-5>= 1 is x<= 1/4 \lor x>= 13/4