Chapter ISG, Problem 5.4.1.3P

a.

To determine

To write a compound inequality whose solution is the union of two graphs.

Answer to Problem 5.4.1.3P

Compound inequality whose solution is union of two graph

  

Compound inequality is express by disjunction "or".

Explanation of Solution

Given information:

  

Compound inequality whose solution is union of two graph

  

Compound inequality is express by disjunction "or".

Solution set:{x|x>-1}

The graph of inequality

  

b.

To determine

To write a compound inequality whose solution is the intersect of two graphs.

Answer to Problem 5.4.1.3P

Compound inequality whose solution is intersection of two graph

  

Compound inequality is express by conjunction "and".

Explanation of Solution

Given information:

  

Compound inequality whose solution is intersection of two graph

  

Compound inequality is express by conjunction "and".

Solution set:{x|x>4 and x=4}

The graph of inequality

  

c.

To determine

To explain how the graph of solution set of part a andpart b relate with given graphs.

Answer to Problem 5.4.1.3P

In part a, both given graph included in the inequality graph of solution set of part a.

In part b, graph of $x>-1$ is excluded and second graph of the given graph is included in the solution set of part b.

Explanation of Solution

Given information:

  

For Part a,

Solution set:{x|x>-1}

The graph of inequality

  

Part b

Solution set :{x|x>4 and x=4}

The graph of inequality

  

In part a, both given graph included in the inequality graph of solution set of part a.

In part b, graph of $x>-1$ is excluded and second graph of the given graph is included in the solution set of part b.