Modulus Functions - Solving Equations (Edexcel A-Level Mathematics): Flashcards

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Modulus Functions - Solving Equations
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What does the modulus function output for negative xx?

It outputs ∣x∣|x|, which is −x-x if xx is negative.

How is the modulus of xx defined for x≥0x \geq 0?

∣x∣=x|x| = x when xx is non-negative.

What are the two cases when solving ∣x∣=4|x| = 4?

x=4x = 4 or x=−4x = -4.

What does ∣2x−3∣=5|2x - 3| = 5 imply?

Consider 2 cases for 2x−32x - 3.

What is the first case for ∣2x−3∣=5|2x - 3| = 5?

Case 1: 2x−3≥02x - 3 \geq 0.

What values of xx solve ∣2x−3∣=5|2x - 3| = 5?

x=4x = 4 or x=−1x = -1 is a solution.

What is the second case for ∣2x−3∣=5|2x - 3| = 5?

Case 2: 2x−3<02x - 3 < 0.

Solve: ∣2x−3∣=5|2x - 3| = 5. Find all xx values.

x=4x = 4 or x=−1x = -1 are the correct solutions.

What is crucial when solving modulus equations?

Always consider different cases based on signs.

What is a key exam tip for solving modulus functions?

Check each solution in the original equation.

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