Solve each of the following in equations and represent the solution set on the number line.
.
Given:
.
Subtracting both the sides by 2
Now dividing both the sides by 7
Signs of x:
x = 0
x < 0
x > 0
Signs of 4 – x:
4 – x = 0 → x = 4
(Subtracting 4 from both the sides, then dividing by -1 on both the sides)
4 – x < 0 → x > 4
(Subtracting 4 from both the sides, then multiplying by -1 on both the sides)
4 – x > 0 → x < 4
(Subtracting 4 from both the sides, then multiplying by -1 on both the sides)
At x = 4, is not defined
Intervals satisfying the condition: < 0
x < 0 or x > 4
Therefore,
x є (-∞, 0) υ (4, ∞)