# To solve the below inequality in terms of intervals and illustrate the solution set on the real number line - 1 + 5 x &gt; 5 − 3 x

BuyFind

### Single Variable Calculus: Concepts...

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

### Single Variable Calculus: Concepts...

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

#### Solutions

Chapter A, Problem 14E
To determine

Expert Solution

## Answer to Problem 14E

The solution of the inequality is x>12 and the solution set on a real number line -

### Explanation of Solution

Given: Inequality: 1+5x>53x

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 1+5x>53x

Solving the above equation, we have:

Subtract (1) from both the sides -

1+5x1>53x1

Solving further:

5x>43x

Add (3x) to both the sides -

5x+3x>43x+3x

Solving further:

8x>4

Divide both the sides by (8) and reversing the inequality, we have:

8x8>48

x>12

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

Conclusion:

Hence, the solution of the inequality is x>12 and the solution set on a real number line -

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