Question

The graph below shows the solution set of which inequality? A p e x​

Answer 1

Answer:

The graph represents the inequality  x² > 4 ⇒ C

Step-by-step explanation:

• The solution of an inequality x > a is represented by a ray starts from a with empty circle and go to right

• The solution of an inequality x ≥ a is represented by a ray starts from a with shaded circle and go to right

• The solution of an inequality x < a is represented by a ray starts from a with empty circle and go to left

• The solution of an inequality x ≤ a is represented by a ray starts from a with shaded circle and go to left

• The solution of an inequality x² > a² is represented by two rays one starts from a with empty circle and go to right and the other starts from a with empty circle and go to left

• The solution of an inequality x² ≥ a² is represented by two rays one starts from a with shaded circle and go to right and the other starts from a with shaded circle and go to left

• The solution of an inequality x² < a² is represented by a segment with empty ends starts at -a and ends at a

• The solution of an inequality x² ≤ a² is represented by a segment with shaded ends starts at -a and ends at a

The graph has two rays one starts at 2 with empty circle and go to right and the other starts at -2 with empty circle and go to left

∵ The first ray represents x > 2

∵ The second ray represents x < -2

- According to the 5th case above [ x² > a² ]

∵ a = 2 or -2

∴ a² = 4

∴ The inequality is x² > 4