Solve 9-2x<72(x-3)

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... 9-2x<72(x-3)

Question

Solve the inequality

x > \frac{225}{74}

Alternative Form

x \in (\frac{225}{74}, + \infty)

Evaluate

9 - 2 x < 72 (x - 3)

Expand the expression

More Steps

Evaluate

72 (x - 3)

Apply the distributive property

72 x - 72 \times 3

Multiply the numbers

72 x - 216

9 - 2 x < 72 x - 216

Move the expression to the left side

9 - 2 x - 72 x < - 216

Move the expression to the right side

- 2 x - 72 x < - 216 - 9

Add and subtract

More Steps

Evaluate

- 2 x - 72 x

Collect like terms by calculating the sum or difference of their coefficients

(- 2 - 72) x

Subtract the numbers

- 74 x

- 74 x < - 216 - 9

Add and subtract

- 74 x < - 225

Change the signs on both sides of the inequality and flip the inequality sign

74 x > 225

Divide both sides

\frac{74 x}{74} > \frac{225}{74}

Solution

x > \frac{225}{74}

Alternative Form

x \in (\frac{225}{74}, + \infty)

Show Solution

English