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Popular >

(3-x)|2-x|<1+x

Solution

(3 - x) ∣ 2 - x ∣ < 1 + x

Solution

x > 3

+1

Interval Notation

(3, \infty)

Solution steps

(3 - x) ∣ 2 - x ∣ < 1 + x

Move

x

to the left side

(3 - x) ∣ 2 - x ∣ - x < 1

Move

1

to the left side

(3 - x) ∣ 2 - x ∣ - x - 1 < 0

∣ 2 - x ∣ \geq 0

If

ab < 0 and a \geq 0

then

b < 0 and a > 0

3 - x < 0 and ∣ 2 - x ∣ > 0

3 - x < 0 : x > 3

∣ 2 - x ∣ > 0 : x < 2 or x > 2

Combine the intervals

x > 3 and (x < 2 or x > 2)

Merge Overlapping Intervals

x > 3

Popular Examples

(x - 2) (x + 6) = 9

4x-(6x+1)<= 8x+2(x-3)

4 x - (6 x + 1) \leq 8 x + 2 (x - 3)

simplify 1/(4^3)simplify

\frac{1}{4 ^{3}}

simplify-sqrt(-72)simplify

- - 72

factor x^3-6x^2 factor

x^{3} - 6 x^{2}

Frequently Asked Questions (FAQ)

What is (3-x)|2-x|<1+x ?
The solution to (3-x)|2-x|<1+x is x>3