Question

Solve the following inequality: 5x − 18 > 2x + 3

Answer 1

Our answer is: x > 7.

`\Large\texttt{Explanation}`

We are asked to solve the following inequality -

• 
  `\sf{5x-18 > 2x+3}`

Combine the like terms on both sides -

• 
  `\sf{5x-2x > 3 + 18}`
• 
  `\sf{3x > 21}`

Divide both sides by 3 to isolate x -

• 
  `\sf{x > 7}`

`\therefore` x > 7

Answer 2

x > 7

Explanation:

Sure, let's solve the inequality 5x - 18 > 2x + 3:

First, let's isolate the variable x on one side of the inequality:

5x - 18 > 2x + 3

Subtract 2x from both sides:

5x - 2x - 18 > 3

Simplify:

3x - 18 > 3

Now, add 18 to both sides:

3x - 18 + 18 > 3 + 18

3x > 21

Finally, divide both sides by 3 to solve for x

x > 21/3

x > 7