Question

Drag the graphs to match each inequality with its solution set.

Answer 1

see the attached figure with the answers

see the explanation

Explanation:

Part 1) we have

`x>5`

The solution is the interval (5,∞)

All real numbers greater than 5

In a number line is the solution is the shaded area at right of x=5 (open circle, the value of x=5 is not included in the solution)

Part 2) we have

`x<5`

The solution is the interval (-∞,5)

All real numbers less than 5

In a number line is the solution is the shaded area at left of x=5 (open circle, the value of x=5 is not included in the solution)

Part 3) we have

`x\geq 5`

The solution is the interval [5,∞)

All real numbers greater than or equal to 5

In a number line is the solution is the shaded area at right of x=5 (closed circle, the value of x=5 is included in the solution)

Part 4) we have

`x\leq 5`

The solution is the interval (-∞,5]

All real numbers less than or equal to 5

In a number line is the solution is the shaded area at left of x=5 (closed circle, the value of x=5 is included in the solution)