What is |w-100|<= 400 ?

The solution to |w-100|<= 400 is -300<= w<= 500

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|w-100|<= 400

∣ w - 100 ∣ \leq 400

- 300 \leq w \leq 500

Interval Notation

[- 300, 500]

Solution steps

∣ w - 100 ∣ \leq 400

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 400 \leq w - 100 \leq 400

w - 100 \geq - 400 and w - 100 \leq 400

w \geq - 300 and w \leq 500

Merge Overlapping Intervals

- 300 \leq w \leq 500

4 = 0.5 \cdot 4000 \cdot x^{2} - 0.5 \cdot 4000 (- 0.02)^{2}

A = 6500 (1 + \frac{0.06}{360})^{3603}

14 x^{4} y + 35 x^{3} y^{4}

1 - (\frac{1}{2} + \frac{1}{3} - (\frac{1}{4} + \frac{1}{3} - \frac{1}{2}))

\frac{8}{ab} - \frac{6}{a b ^{2}}