Chapter ISG, Problem 5.1.2.18P

To determine

To match each inequality with the graph.

Answer to Problem 5.1.2.18P

Option (c)

Explanation of Solution

Given information:

Inequality

  

Calculation:

  

Using subtraction property

Subtract 5 from both sides of inequality

  

On solving,

  

Using subtraction property

Subtract 3x from both sides of inequality

  

On solving,

  

Multiplication by -1 both sides

  

Solution set: $\left\{x|x>5andx=5\right\}$

The graph of inequality $x\ge 5$ on number line is given below

  

Interval notation: $[5,\infty )$

Hence, option (c) is correct answer.