Linear Inequalities (Leaving Cert Mathematics): Quizzes

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Linear Inequalities
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What is a linear inequality?

A statement comparing expressions with >, <, ≥, ≤

What does the symbol ≥\geq mean?

is greater than or equal to

When must the inequality sign be reversed?

When multiplying/dividing by a negative

What is the set of natural numbers NN?

{1, 2, 3, 4, ...}

What is the set of integers ZZ?

{..., -3, -2, -1, 0, 1, 2, 3, ...}

What does the set of real numbers RR contain?

All numbers on the number line

On a number line, what does a full circle (●) indicate?

The number is included

On a number line, what does an empty circle (○) indicate?

The number is not included

Which symbols use a full circle on the number line?

≥\geq and ≤\leq

If 3<53 < 5, what happens when both sides are multiplied by −1-1?

−3>−5-3 > -5

How do equations differ from inequalities?

Equations show exact relationships

Do natural numbers include zero?

No, they start from 1

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