Yes617
Answered

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What are all the values of x that make the inequality 8 - 3x < 20 true?

Sagot :

hello!

Let's solve this inequality.

First of all, subtract 8 from both sides:-

[tex]\sf{-3x < 20-8}[/tex]

[tex]\sf{-3x < 12}[/tex]

Divide both sides by -3:-

[tex]\sf{x > -4}[/tex]

Notice that the inequality sign changed...

Here's the rule:-

When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...

So these are the values of x that will make the inequality true:-

[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]

Well, -3 is greater than 4 :)

Let's plug it in and see if it makes the inequality true:-

-3>-4

Yes, it does make the inequality true :)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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