Examples;
1.
State the range of values of x for the graph below;
Solution
x
< -1 or x ≥ +4
Therefore, the range of values of x will be;
-1 > x ≥ +4.
2. State
the range of values of y for the graph below;
Solution
x ≤ -5 or
x ≥ 9
Therefore, the range of values of x will be;
-5 ≥ x ≥ 9.
3. If
3 + x ≤ 5 and 8 + x ≥ 5, what range of values of x satisfies both inequalities?
Solution
3 + x ≤ 5
or 8 + x ≥ 5
(Making x the subject)
x ≤ 5 – 3 or
x ≥ 5 – 8
x ≤ 2 or x ≥ - 3
Therefore, the range will be;
2 ≥ x ≥ -3.
Practice
these questions below;
1. State the range of values of x for the graph below;
2. If 6x < 2 – 3x and x
– 7 < 3x, what range of values of x satisfies both inequalities?
3. What is the range of
values of x for which 3(1 – x) >
3 and 3(1 + x) ≥ 0 are both satisfied?
4. State the range of
values of x for the graph below;
Hmm
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