The document outlines a series of questions related to linear inequalities, including tasks to define and complete inequalities based on provided graphs. It asks to shade regions that satisfy given inequalities and identify coordinates that meet specific inequality conditions. Additionally, it prompts for the formulation of three linear inequalities representing a shaded region in a diagram.

1. REVISION – PAST YEAR QUESTIONS
LINEAR INEQUALITIES
1. State three linear inequalities defining regions shaded in Diagram 1.
Answer :

2. 2. Based on the graph given, complete the inequalities that represent the
region 𝐽, 𝐾 and 𝐿 in the answer space provided.
Answer :
𝑅𝑒𝑔𝑖𝑜𝑛 𝐽 𝑅𝑒𝑔𝑖𝑜𝑛 𝐾 𝑅𝑒𝑔𝑖𝑜𝑛 𝐿
𝑥 + 𝑦 7 𝑥 + 𝑦 7 𝑥 + 𝑦 7
𝑦 𝑥 𝑦 𝑥 𝑦 𝑥
𝑥 0 𝑦 0 𝑦 7

3. 3. On the graph in the answer space, shade the region which satisfies all three
linear inequalities 𝒙 ≥ −𝒚 + 𝟖, 𝟐𝒚 − 𝒙 ≥ −𝟐 and 𝒚 < 𝟖.
Answer :

4. 4. Which of the following coordinates satisfy the linear inequality of 3𝑦 >
6 − 2𝑥 ?
i. (4, −2)
ii. (1, 2)
iii. (2, −1)
5. State the three linear inequalities that represent the shaded region in the
following diagram.