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A triangle has side lengths of 200 units and 300 units. Write a compound inequality for the range of the possible lengths for the third side, X
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DatGuy323

Answer:

100-500

Step-by-step explanation:

Both sides of a triangle cannot be shorter than the remaining side.  Thus, the side must be less than 500 units.  With the same rule, the side must be greater or equal to 100 units, as if it was less, then 200 + 99 < 300.

The compound inequality for the range of the possible lengths for the third side will be 100- 500.

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.

  • p ≠ q means that p is not equal to q
  • p < q means that p is less than q
  • p > q means that p is greater than q
  • p ≤ q means that p is less than or equal to q
  • p ≥ q means that p is greater than or equal to q

Given:

side lengths of 200 units and 300 units.

The largest value of the third side will be

200+300=500

and, the smallest value will be

300-200=100

Hence, 100<X<500

Learn more about inequality here:

https://brainly.com/question/20383699

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