Question

3 Coached Example
Solve and graph the inequality z - 8 S 5.
Use inverse operations to isolate the variable.
to both sides.
is subtraacted from z, add
Since
z - 8 S 5
S 5 +
8 t
Graph the solution set on the number line below.
O 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
circle at
Since the symbol is -, draw a n)
This shows that
Since all values less than
is a solution.
are also solutions, draw an arrow to the
Its graph is shown above.
The solution set for the inequality is z S

Answer 1

Since 8 is subtracted from z, add 5 to both sides.

z - 8 + 5 ≤ 5 + 8

z ≤ 13

Graph the solution set on the number line below.
(The Graph will be at the bottom of the page).

Since the symbol is ≤, draw a(n) less than circle or equal to circle at 13.

This shows that 13 is a solution.

Since all values less than 13 are also solutions, draw an arrow to the left. 

The solution set for the inequality is z ≤ 13, its graph is shown above.