# To solve the below inequality in terms of intervals and illustrate the solution set on the real number line - 4 − 3 x ≥ 6

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter A, Problem 12E
To determine

## To solve the below inequality in terms of intervals and illustrate the solution set on the real number line -   4−3x≥6

Expert Solution

The solution of the inequality is x23 and the solution set on a real number line -

### Explanation of Solution

Given: Inequality: 43x6

Formula Used:

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Real number line is the line whose points are the real numbers.

Calculation:

Given : Inequality equation is 43x6

Solving the above equation, we have:

Subtract 4 from both the sides -

43x464

Solving further:

3x2

Multiply both the sides by (1) and reversing the inequality, we have:

(3x)×(1)(2)×(1)

3x2

Dividing by 3 both the sides, we have:

3x323

Solving further, we have:

x23

Drawing the above inequality on a real number line, we have:

Conclusion:

Hence, the solution of the inequality is x23 and the solution set on a real number line -

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