What is solvefor x,|x-9|>= 4 ?

The solution to solvefor x,|x-9|>= 4 is x = 13

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Solve the Inequality for x |x-9|>=4

solve for

x, ∣ x - 9 ∣ \geq 4

x \leq 5 or x \geq 13

Solution steps

∣ x - 9 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

u \geq a

x - 9 \leq - 4 or x - 9 \geq 4

x - 9 \leq - 4 or x - 9 \geq 4

x \leq 5 or x \geq 13

Number Line

x \leq 5 or x \geq 13

n, 2 (n - 1) + 4 n = 2 (3 n - 1)

0.03%

x^{2} - 5 x - 14 = 0

\frac{50}{18}

3 x^{2} - 2 x - 4 = 0

What is solvefor x,|x-9|>= 4 ?
The solution to solvefor x,|x-9|>= 4 is x<= 5\lor x>= 13