Solve "f(1/2)" [0,4] |f(x)|≤2

Evaluate

0, 4 ∣ f x ∣ \leq 2

Evaluate

0.4 ∣ f x ∣ \leq 2

Rewrite the expression

0.4 f ∣ x ∣ \leq 2

Rewrite the expression

更多步骤

\frac{2 f ∣ x ∣}{5} \leq 2

Multiply both sides

2 f ∣ x ∣ \leq 10

Divide both sides

\frac{2 f ∣ x ∣}{2 f} \leq \frac{10}{2 f}

Divide the numbers

∣ x ∣ \leq \frac{10}{2 f}

Cancel out the common factor 2

∣ x ∣ \leq \frac{5}{f}

Separate the inequality into 2 possible cases

{x \leq \frac{5}{f} x \geq - \frac{5}{f}

解题方案

x \leq \frac{5}{f} \cap x \geq - \frac{5}{f}

"f(1/2)" [0,4] |f(x)|≤2