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Which inequality shows all possible values for the measure of the third side, x, in inches?

Which Inequality Shows All Possible Values For The Measure Of The Third Side X In Inches class=

Sagot :

MrRoyalidn

Answer:

[tex]26 > c > 58[/tex]

Step-by-step explanation:

Given

[tex]a,b =42; 16[/tex] --- 2 sides

Required

The inequality for the third side

To do this, we make use of:

[tex]a + b < c[/tex]

[tex]a + c < b[/tex]

[tex]b + c < a[/tex]

So, we have:

[tex]42 + 16 < c[/tex]

[tex]16 + c < 42[/tex]

[tex]42 + c < 16[/tex]

This gives:

[tex]58 < c[/tex]

[tex]c < 26[/tex]

[tex]c<-26[/tex]

The usable inequalities are:

[tex]c < 26[/tex] and [tex]58 < c[/tex]

Rewrite:

[tex]c < 26[/tex] and [tex]c > 58[/tex]

So, the inequality is:

[tex]26 > c > 58[/tex]

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