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Temka [501]
3 years ago
8

For what values of x is the following inequality true? 5/7 + x/7 >(underlined) 10. PLZ HELP!!! 12 points

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0
Hello! Thank you for your question! I will be most happy to help!

So here what we are going to do is solve for X.

Step 1: Simplify x/7

Equation at the end of step 1: 5/7 + x/7 - 10 > 0

Step 2: Simplify 5/7

Equation at the end of step 2:

5/7 + x/7 - 10 > 0

Step 3: Adding fractions which have a common denominator: 

3.1 Adding fractions which have a common denominator
<span>Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + x / 7 = x + 5 / 7

Equation at the end of step 3:

(x + 5) / 7 - 10 > 0

Step 4: Rewriting the whole as an Equivalent Fraction:

</span>4.1 Subtracting a whole from a fraction 
<span>
Rewrite the whole as a fraction using 7 as the denominator:
</span>
10 = 10 / 1 = 10 * 7 / 7

Equivalent fraction: <span>The fraction thus generated looks different but has the same value as the whole 

</span>Common denominator: <span>The equivalent fraction and the other fraction involved in the calculation share the same denominator
</span>
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions 

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x+5) - (10 * 7) / 7 = x - 65 / 7

Equation at the end of step 4:

x - 65 / 7 > 0

Step 5: 5.1 Multiply both sides by 7

Solve Basic Inequality:<span><span> 

5.2 </span>Add <span> 65 </span> to both sides
<span><span>
x > 65

Final answer: x > 65</span></span></span>
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