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Chapter 2: Q. 7 (page 126)

Solve the inequality. Graph the solution set.

2-3x>6

Short Answer

Expert verified

The solution set of the given inequality is -鈭�,-43

The graph of the solution set is given as:

Step by step solution

01

Step 1. Given information

The given inequality is2-3x>6

02

Step 2. Solve the inequality

Using properties of inequalities, we get:

2-3x>6-3x>43x<-4[multiplybothsidesby-1]x<-43

03

Step 3. Verify the solution

Substituting the value less than -43i.e.,-53 in the inequality, we get:

2-3x>62-3脳-53>62--5>67>6

This is true.

Hence the solution of the inequality is

x<-43

04

Step 4. Graph the solution set.

The graph of the solution set is given as:

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Most popular questions from this chapter

True or False The domain of the function f(x)=x2-4xis{x|x鈮�卤2}.

If f(x)=x+1and g(x)=x3, then____________ =x3-(x+1).

True or False Every relation is a function.

The slope of the line containing the points (-2, 3) and (3, 8) is ________.

Match each graph to its function.

A. Constant function

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