# Solving inequalities graphically (Part 2)

## Lesson details

### Key learning points

1. In this lesson, we will learn how to solve more complex inequalities graphically, linking multiple straight-line graphs.

### Licence

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.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
1) Which of the following regions represents x < 1?
Option 2
Option 3
Option 4
Q2.
Which of the following regions represents "y is greater than or equal to -2"?
Option 1
Option 2
Option 3
Q3.
Which inequality has been drawn on the axes below?
x + y < -4
Correct answer: x + y < 4
x + y > -4
x + y > 4
Q4.
Which inequality has been drawn on the axes below?
y < -2x + 2
Correct answer: y < 2x + 2
y > -2x + 2
y > 2x + 2
Q5.
5) Which shape is bound by the inequalities: x < 1, y < 3, x > -1, y > -3?
Rectangle
Trapezium
Triangle

## Exit quiz

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### 5 Questions

Q1.
Fill in the blanks: We can solve inequalities using _____.
A ruler
Guesswork
Knowledge
Q2.
Use algebraic methods to solve 3x-2<5x+4.
x > -2
x > -6
x > 2
Q3.
Find the point of intersection for the graph of y = 2x - 1 and x + y = 5 below.
(1, 2)
(2, 1)
(3, 2)
Q4.
For what values of x is 2x - 1 > -x + 5
x < 2
x < 3