What is -|u-420|-6>=-21 ?

The solution to -|u-420|-6>=-21 is 405<= u<= 435

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-|u-420|-6>=-21

- ∣ u - 420 ∣ - 6 \geq - 21

405 \leq u \leq 435

Interval Notation

[405, 435]

Solution steps

- ∣ u - 420 ∣ - 6 \geq - 21

Move

6

to the right side

- ∣ u - 420 ∣ \geq - 15

Multiply both sides by

- 1

∣ u - 420 ∣ \leq 15

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 15 \leq u - 420 \leq 15

u - 420 \geq - 15 and u - 420 \leq 15

u \geq 405 and u \leq 435

Merge Overlapping Intervals

405 \leq u \leq 435

0 = - 16 t^{2} + 6 t + 5

b^{2} + 8 b + 7

3 (x - 1) = 6 x

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

\frac{3 x - 2 y}{9 x ^{2} - 4 y ^{2}}