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Popular >

18-3|30-5x|<-42

Solution

18 - 3 ∣ 30 - 5 x ∣ < - 42

Solution

x < 2 or x > 10

+1

Interval Notation

(- \infty, 2) \cup (10, \infty)

Solution steps

18 - 3 ∣ 30 - 5 x ∣ < - 42

Move

18

to the right side

- 3 ∣ 30 - 5 x ∣ < - 60

Multiply both sides by

- 1

3 ∣ 30 - 5 x ∣ > 60

Divide both sides by

3

∣ 30 - 5 x ∣ > 20

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

30 - 5 x < - 20 or 30 - 5 x > 20

30 - 5 x < - 20 or 30 - 5 x > 20

x < 2 or x > 10

Popular Examples

(10x+8)/2 =5x+4

\frac{10 x + 8}{2} = 5 x + 4

5 y^{2} = - 21 y - 4

simplify (b^3+5bc+10c^3)-(12b^3+6bc^2+c^3)simplify

(b^{3} + 5 b c + 10 c^{3}) - (12 b^{3} + 6 b c^{2} + c^{3})

\H(2.8)=50-(4.9*2.8^2)

H (2.8) = 50 - (4.9 \cdot 2. 8^{2})

x^{2} - 8 x - 7 = 0

Frequently Asked Questions (FAQ)

What is 18-3|30-5x|<-42 ?
The solution to 18-3|30-5x|<-42 is x<2\lor x>10