Everything Maths Grade 10

Worked example 17: Solving linear inequalities

QUESTION

Solve forr:
6 r > 2

Represent the answer on a number line and in interval notation.

SOLUTION

Step 1: Rearrange and solve forr

r > 2  6

r > 4

Step 2: Multiply by1 and reverse inequality sign

r < 4

Step 3: Represent the answer on a number line

0 1 2 3 4 5

r< 4

Step 4: Represent the answer in interval notation

(1; 4)

Worked example 18: Solving linear inequalities

QUESTION

Solve forq:

4 q+ 3<2(q+ 3)

Represent the answer on a number line and in interval notation.

SOLUTION

Step 1: Expand the bracket

4 q+ 3<2(q+ 3)

4 q+ 3< 2 q+ 6

98 4.7. Solving linear inequalities