The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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Solution
4m - 2 < 2 or 6m + 2 ≥ 6
Step 1: Isolate the variable constant.
4m < 2 + 2 or 6m ≥ 6 - 2
Step 2: Simplify it.
4m <4 or 6m ≥4
Step 3: Solve for "m"
m < 4/4 or m ≥ 4/6
m < 1 or m ≥2/3
That is the solution.
Note: I have attached the graph. Please take a look at it.
Thank you :)
