HARD

Upper Secondary: IGCSE

IMPORTANT

Earn 100

For the following diagram, find the inequality that is represented by the unshaded region:

Important Questions on Further Solving of Equations and Inequalities

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.5>Q 6

For the following diagram, find the inequality that is represented by the unshaded region:

Question Image

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 1

By shading the unwanted regions, show the region defined by the set of inequalities

x + 2 y ⩾ 6

y ⩽ x

and

x < 4

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 2

By shading the unwanted regions, show the region defined by the set of inequalities

x + y ⩾ 5

y ⩽ 2

and

y ⩾ 0

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 3

On a grid, draw the lines

x = 4

y = 3

and

x + y = 5

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 3

By shading the unwanted regions, show the region that satisfies all the inequalities

x ⩽ 4

y ⩽ 3

and

x + y ⩾ 5

. Label the region R.

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 4

Write down the three inequalities that define the unshaded triangular region R.

Question Image

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 5

The unshaded region in diagram represents the set of inequalities $y ⩾ 0$ , $y + 2 x ⩾ 2$ and $x + y < 4$ . Write down the pair of integers $(x, y)$ that satisfies all the inequalities.

Question Image

HARD

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 14 - Further Solving of Equations and Inequalities>Exercise 14.6>Q 6

Draw graph to show the solution sets of the inequalities:

y ⩽ 4

y ⩾ x + 2

and

3 x + y ⩾ 4

. Write down the integer co-ordinates

(x, y)

that satisfies all the inequalities in this case.

For the following diagram, find the inequality that is represented by the unshaded region:

Important Questions on Further Solving of Equations and Inequalities

Learn and Prepare for any exam you want !