Question

Solve : (show your work)

10-3x>-23

Answer 1

x < 11

Explanation:

Pull out like factors :

33 - 3x = -3 • (x - 11)

Step 2 :

Divide both sides by -3

Remember to flip the inequality sign

Add 11 to both sides

x < 11

Inequality plot for

-3.000 X + 33.000 < 0

One solution was found :

x < 11

Answer 2

Hello there!

Question:-

`\tt \: 10 - 3x > - 23`

This is a inequality. We need to find the value of x of this inequality.

Solution:-

`\sf \implies \: 10 - 3x > - 23`

This equation may be rewritten as ,

`\sf \implies \: - 3x + 10 > - 23`

Firstly, Subtract both sides of this equation :-

`\sf \implies \: - 3x+10 - 10> - 23 - 10`

On Simplification :-

As (+) and (-) equals to (+), So +10-10 will be represented as 10-10.It results to 0.

`\sf \implies - 3x + 0 > - 23 - 10`

As (-) and (-) equals to (+), -23-10 will be represented as 23+10. But 23>10. 23 contains a minus (-) sign. The answer is -33.

`\sf \implies - 3x > - 33`

Divide both sides by -3:-

`\sf \implies ( - 3x)/(3) > (33)/( 3)`

On Simplification:-

Cancel -3/-3, leave x, then cancel -33/3:-

`\sf \implies \: (3x)/(3) > ( - 33)/( - 3)`

`\sf \implies \frac{ \cancel{ - 3}x}{ \cancel3} > \cancel( - 33)/(-3)`

On cancelling -3/-3, 1x is the result, and on cancelling -33/-3, 11 is the result.

`\sf \implies \: 1x < 11`

As we know,

`\sf \implies \: \: 1x = x`

Then , 1x < 11 may be represented as :-

`\sf \implies \: x < 11`

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Henceforth, the answer of the inequality is :-

`\boxed{\huge \red {x < 11}}`

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I hope this helps!

Please let me know if you have any questions.

~MisterBrian