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How do you solve inequalties?

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Anonymous

15y ago
Updated: 10/17/2024

Treat inequalities like equations. Both sides can have equal amounts added or subtracted, or be multiplied or divided by numbers of equal value.

There is a major exception :- When multiplying or dividing by a negative number then the inequality sign is reversed.

EXAMPLE : 4x + 5 > 2x + 9 : 4x - 2x > 9 - 5 : 2x > 4 : x > 2

EXAMPLE : 3 -7x < 2x + 21 : -7x - 2x < 21 - 3 : -9x < 18 : -x < 2 if this inequality is now multiplied by -1 note how the inequality sign is reversed x > -2

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Wiki User

15y ago

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When solving an inequality do you always need to solve for Y?

I don't really understand what your question means, but we'll go through the complete step of solving linear inequalties. For example, x - 3 &lt; 5. What is x? Well, we must isolate 'x' on one side. We do it like we do with an equalty. x - 3 + 3 &lt; 5 + 3 --&gt;&gt; x &lt; 8 There we have it, the solution! Of course, inequalties aren't exactly like equalties, either. Take this for instance: -x &lt; 5 We need to isolate x, so here we go: x &lt; -5. Oops, we messed up somewhere! It turns out, that if you take the equation and multiply or divide by a negative number, we get to reverse the inequalty sign. Therefore, the answer is: x &gt; -5. There we go.


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