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Popular >

8+|4v-7|>= 17

Solution

8 + ∣ 4 v - 7 ∣ \geq 17

Solution

v \leq - \frac{1}{2} or v \geq 4

+2

Interval Notation

(- \infty, - \frac{1}{2}] \cup [4, \infty)

Decimal Notation

v \leq - 0.5 or v \geq 4

Solution steps

8 + ∣ 4 v - 7 ∣ \geq 17

Move

8

to the right side

∣ 4 v - 7 ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 v - 7 \leq - 9 or 4 v - 7 \geq 9

4 v - 7 \leq - 9 or 4 v - 7 \geq 9

v \leq - \frac{1}{2} or v \geq 4

Popular Examples

x + 3 \geq 3 x - 5

simplify sqrt(133)simplify

133

simplify (25x^3y^7)/(15xy)simplify

\frac{25 x ^{3} y ^{7}}{15 x y}

5 x^{2} - 18 x - 8 \leq 0

simplify (a+4)/(4a)*(18a^2)/(a+4)simplify

\frac{a + 4}{4 a} \cdot \frac{18 a ^{2}}{a + 4}

Frequently Asked Questions (FAQ)

What is 8+|4v-7|>= 17 ?
The solution to 8+|4v-7|>= 17 is v<=-1/2 \lor v>= 4