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, ∞)