Question

What value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18?

–4
–3
–2
–1

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x < -3}`

Explanation:

We want to solve:

`\sf 9(2x + 1) < 9x - 18`

◼ Simplify both sides:

`\sf 18x + 9 < 9x - 18`

◼ Subract 9 from both sides:

`\sf 18x + 9-9 < 9x - 18-9`

◼ Simplify both sides:

`\sf 18x < 9x -27`

◼ Subract 9x from both sides:

`\sf 18x -9x < 9x -27-9x`

◼ Simplify both sides:

`\sf 9x < -27`

◼ Divide both sides by 9:

`\sf (9x)/(9) < (-27)/(9)`

◼ Simplify both sides:

`\boxed{\sf x < -3}`

Answer 2

x < -3

In-depth explanation:

Hi! This question is asking us to solve this inequality.

`\tt{9(2x + 1) < 9x - 18}`

Use the distributive property:

`\tt{18x+9 < 9x-18}`

Subtract 9x from each side:

`\tt{18x-9x+9 < -18}`

`\tt{9x+9 < -18}`

Subtract 9 from each side:

`\tt{9x < -27}`

Finally, divide each side by 9.

`\implies\boxed{\tt{\pink{x < -3}}}`