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Popular >

4|x+2|+2>7

Solution

4 ∣ x + 2 ∣ + 2 > 7

Solution

x < - \frac{13}{4} or x > - \frac{3}{4}

+2

Interval Notation

(- \infty, - \frac{13}{4}) \cup (- \frac{3}{4}, \infty)

Decimal Notation

x < - 3.25 or x > - 0.75

Solution steps

4 ∣ x + 2 ∣ + 2 > 7

Move

2

to the right side

4 ∣ x + 2 ∣ > 5

Divide both sides by

4

∣ x + 2 ∣ > \frac{5}{4}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 2 < - \frac{5}{4} or x + 2 > \frac{5}{4}

x + 2 < - \frac{5}{4} or x + 2 > \frac{5}{4}

x < - \frac{13}{4} or x > - \frac{3}{4}

Popular Examples

- x^{2} + 3 x - 5 = 0

simplify (0.3)^2 simplify

(0.3)^{2}

simplify ((a-b)^2)/((b-a)^2)simplify

\frac{( a - b ) ^{2}}{( b - a ) ^{2}}

simplify sqrt(8^2-4*2*5)simplify

8^{2} - 4 \cdot 2 \cdot 5

-7x-50<=-1\land-6x+70>-2

- 7 x - 50 \leq - 1 and - 6 x + 70 > - 2

Frequently Asked Questions (FAQ)

What is 4|x+2|+2>7 ?
The solution to 4|x+2|+2>7 is x<-13/4 \lor x>-3/4