Representing inequalities on a number line

Back to: O LEVEL MATHEMATICS UGANDA FROM S2 TO S4

Example 1.

X ≤ 3

x 3

x = {3, 2, 1, 0 ,-1, ——-}

Example 2.

a > -2

a les 2

a = { -1, 0 , 2 , 3, 4 ———–}

Example 3 .

-3 ≤ x < 1

3

x = {-3, -2, -1, 0 }

Example 4.

2 ≤ Y ≤ 4

y4

Y = {-2, -1, 0, 1, 2, 3, 4}

Solve the following inequalities and illustrate their solution o a number line

15- 4t ≥ 5

15 -15 – 4t ≥ 5- 15

-4t ≥ -10

Divide both sides by -4

T ≤ 2.5

t 2.5

t = { 2.5, 2, 1.5, 1, 0, 0.5, -1 ————–}