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Popular >

|10-4x|+1>= 5

Solution

∣ 10 - 4 x ∣ + 1 \geq 5

Solution

x \leq \frac{3}{2} or x \geq \frac{7}{2}

+2

Interval Notation

(- \infty, \frac{3}{2}] \cup [\frac{7}{2}, \infty)

Decimal Notation

x \leq 1.5 or x \geq 3.5

Solution steps

∣ 10 - 4 x ∣ + 1 \geq 5

Move

1

to the right side

∣ 10 - 4 x ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

10 - 4 x \leq - 4 or 10 - 4 x \geq 4

10 - 4 x \leq - 4 or 10 - 4 x \geq 4

x \leq \frac{3}{2} or x \geq \frac{7}{2}

Popular Examples

factor y^2+7y+6 factor

y^{2} + 7 y + 6

simplify-1/6-1/3 simplify

- \frac{1}{6} - \frac{1}{3}

- 6 + 4 a = 54

∣ x + 2 ∣ + 3 = 6

3sqrt(5)*(x^2+4)+sqrt(13)(x^2+36)=8(3+x)

35 \cdot (x^{2} + 4) + 13 (x^{2} + 36) = 8 (3 + x)

Frequently Asked Questions (FAQ)

What is |10-4x|+1>= 5 ?
The solution to |10-4x|+1>= 5 is x<= 3/2 \lor x>= 7/2