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In ABC, AB = 5 feet and BC = 3 feet.
Which inequality represent all possible values for the length of AC, in feet?
1. 2 <_AC <_ 8
2. 2 < AC < 8
3. 3 <_ AC<_ 7
4. 3 < AC <7

In ABC AB 5 Feet And BC 3 Feet Which Inequality Represent All Possible Values For The Length Of AC In Feet 1 2 LtAC Lt 8 2 2 Lt AC Lt 8 3 3 Lt AClt 7 4 3 Lt AC class=

Sagot :

Cros7725id
C i guess tell me if I am wrong

Inequalities help us to compare two unequal expressions. The value of AC should be 2≤AC≤8, the correct option is 1.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.


As per the law of triangle inequality, the sum of any two sides of the triangle must be greater than or equal to the third side, this will give three conditions,

  • 5+3 ≥ AC ⇒ 8 ≥ AC
  • AC + 3 ≥ 5 ⇒ AC ≥ 2
  • AC + 5 ≥ 3

Since the third condition is going to be true for all the whole numbers. Therefore, as per the first two conditions, the value of AC should be 2≤AC≤8.

Learn more about Inequality:

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