The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range
_____
Some define the triangle inequality using < rather than ≤. Be careful here.
2p² - p - 10 = 0
2 = a
- 1 = b
- 10 = c
To factor, find two numbers that multiply to equal a·c and also that have a sum of b
2p² + 4p - 5p - 10 = 0
2p (p + 2) - 5 (p + 2) = 0
<h3>Answer: ( 2p - 5 ) ( p + 2 ) = 0</h3>
Answer:
B should be 3 inches long because the area of the square above is 48 inches squared, so that long side is probably 8. B is 3 inches long. As for A, this should be simple. since we know the longer side of the room has the area of 27, we can tell the length(longest side) is 9. 14 minus 9 is equal to 4. A's width is 4 inches long.
Step-by-step explanation:
for the rest, since we know one of the widths is 6 inches, we know that the length of the room with an area of 32 inches is 8. therefore, since 8 times 4 equals the number 32, C is 4 inches long. back to B. since we know that c is 4 inches long and that there is a length of 11 inches, we can tell the longest side of room A is 7. 4 Times 7 equals 28, so B is 28 inches squared.
The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
<h3>What is the inequality equation?</h3>
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality given in the problem is,

Simplify the equation first by adding the same terms,

Now in this case, if the value x is ranges from -5/9 to infinity.
Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
Learn more about the inequality equation here:
brainly.com/question/17724536
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