# Further inequalities

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## Lesson details

### Key learning points

- In this lesson, we will learn how to form inequalities related to a known equation.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Fill in the gaps. We can use the symbols __ and __ to express an inequality.

-, +

=, +

x, y

Q2.

Which inequality represents "a is greater than b"?

a < b

a = b

b > a

Q3.

Which inequality represents "the sum of b and a is less than c"?

a + b > c

b - a < c

c < a + b

Q4.

Which inequality is true when a = 3?

-a > a -2

a < -5

a x a > 5a

Q5.

Which inequality is true when a = -4?

-a < a -2

2a > a

a < -5

### 5 Questions

Q1.

Fill in the gap. We can use an established inequality to form a related ____.

equation

expression

sum

Q2.

If 19 > 14, which symbol would go in the gap: 7 × 19 __ 7 × 14?

+

<

=

Q3.

If 19>14, which symbol would go in the gap: (−3) × 19 __ (−3) × 14?

+

=

>

Q4.

Which of the following inequalities are true when n = 3 and m = -2?

-2n > -2m

n + 3 < m + 3

n < m

Q5.

Which of the following inequalities are always true when a > b?

-3a > -3b

a - 4 > b

a > 7b