Inequalities (Junior Cert Mathematics): Quizzes

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Solving Inequalities
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What do inequalities show about two values?

One is greater or less than the other

What does the symbol >> mean?

Greater than

What does the symbol ≤\leq mean?

Less than or equal to

How do inequalities differ from equations?

They show one side larger or smaller

When solving inequalities, when must you reverse the inequality sign?

When multiplying/dividing by negative

Solving −4x<8-4x < 8 by dividing by −4-4 gives:

x>−2x > -2

What is the solution to 3−4x<113 - 4x < 11?

x>−2x > -2

When graphing x>5x > 5, what type of circle should be used at 55?

Open circle

When graphing y≥3y \geq 3, what type of circle should be used at 33?

Closed circle

For the inequality x>−2x > -2, which direction should the arrow point?

Right

For the inequality x<7x < 7, which direction should the arrow point?

Left

When graphing x>−2x > -2 over Z\mathbb{Z}, what should be shown?

Only integer points like −1,0,1-1, 0, 1

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