What is solvefor x,f>-|x-2|+4 ?

The solution to solvefor x,f>-|x-2|+4 is No Solution

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solvefor x,f>-|x-2|+4

solve for

x, f > - ∣ x - 2 ∣ + 4

No Solution

Solution steps

f > - ∣ x - 2 ∣ + 4

Move

∣ x - 2 ∣

to the left side

f + ∣ x - 2 ∣ > 4

Move

f

to the right side

∣ x - 2 ∣ > 4 - f

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

u > a

x - 2 < - (4 - f) or x - 2 > 4 - f

x - 2 < - (4 - f) or x - 2 > 4 - f

No Solution or No Solution

No Solution for x \in R

(a) ∣ x - 2 ∣ \leq ∣ x + 4 ∣

\frac{2}{x + 3} \leq 1

2 x^{2} - 5 x + 1 \geq 2

∣ x ∣ + ∣ 2 x - 8 ∣ \leq ∣ x + 8 ∣

\frac{( 3 x + 1 )}{( x - 3 )} > 6

What is solvefor x,f>-|x-2|+4 ?
The solution to solvefor x,f>-|x-2|+4 is No Solution