HSC Together Year 11 Maths Extension: Inequalities with Absolute Values

#### Maths Extension

• Further Work with Functions
• Polynomials
• Inverse Trigonometric Functions
• Further Trigonometric Identities
• Rates of Change
• Working with Combinatorics
• Back to other subjects
Back to other subjects

# Inequalities with Absolute Values

Inequalities with absolute values can be tricky, we need to deal with all cases of what’s inside the absolute values, that is:

• Positive inside the absolute value
• Or a negative of what’s inside the absolute value

This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Further, Work with Functions.

Now, we will explore inequalities with absolute values Here we will learn to solve absolute value inequalities of the form:

• |ax+b| > k
• |ax+b| > |cx+d|

Let’s explore this more below.

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