2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
1 answer:
You might be interested in
Answer:
Ben is incorrect
The solutions are x>-3 and x < 3
Step-by-step explanation:
we have
Multiply by -1 both sides
Adds 9 both sides
The solutions are
and
-----> Multiply by -1 both sides ---->
therefore
The solution is the interval (-3,3)
Ben is incorrect
Answer:
x = 15
Step-by-step explanation:
The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.
We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle. Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.
We are also told that the triangle's area is 75 units. With all of that put together, we can say: