Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
1 answer:
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
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Which is the correct representation of the inequality?</h3>
Here we have.
-3(2x - 5) < 5*(2 - x)
First, we need to isolate x in one side, let's expand both sides:
-6x + 15 < 10 - 5x
15 - 10 < 6x - 5x
5 < x
This will be represented with a number line where we have an open circle at 5, and an arrow that goes to the right. So the correct option is:
"A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right."
If you want to learn more about inequalities:
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Answer:
y = (2x + 15)/3
Step-by-step explanation:
3y = 2x + 15
Divide both sides by 3,
3y/3 = 2x/3 + 15/3
Simplify,
y = (2x + 15)/3
Answer:
-8
Step-by-step explanation:
substitute x with 3
-4(3) + 4
simplify (multiply)
-12+4
simplify
-8
This figure, I believe, is a triangular prism.
Answer:
Rectangle: 112m
Trapezoid: 28m
Step-by-step explanation:
The area of the rectangle is 8*14, which is 112. The area of the trapezoid is ((base1 + base2)* height)/2. That is ((4+10)*4)/2, which is 28.
It is too blurry I can't see. Try re-posting the question so I can solve it.