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Popular >

-4|7-x|-4<=-16

Solution

- 4 ∣ 7 - x ∣ - 4 \leq - 16

Solution

x \leq 4 or x \geq 10

+1

Interval Notation

(- \infty, 4] \cup [10, \infty)

Solution steps

- 4 ∣ 7 - x ∣ - 4 \leq - 16

Move

4

to the right side

- 4 ∣ 7 - x ∣ \leq - 12

Multiply both sides by

- 1

4 ∣ 7 - x ∣ \geq 12

Divide both sides by

4

∣ 7 - x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

7 - x \leq - 3 or 7 - x \geq 3

7 - x \leq - 3 or 7 - x \geq 3

x \leq 4 or x \geq 10

Popular Examples

1-(6-2x)/3 =x-(x+3)/2

1 - \frac{6 - 2 x}{3} = x - \frac{x + 3}{2}

simplify 5/(6ab)-7/(8a)simplify

\frac{5}{6 ab} - \frac{7}{8 a}

9 x^{2} - 12 x + 4 < 0

2 x^{2} - 6 x + 4 = 0

simplify 2/3-5/6 simplify

\frac{2}{3} - \frac{5}{6}

Frequently Asked Questions (FAQ)

What is -4|7-x|-4<=-16 ?
The solution to -4|7-x|-4<=-16 is x<= 4\lor x>= 10