Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
Answer:
y = 3x
Step-by-step explanation:
Parallel lines have the same slope, so the slope of this new line will be the same as the given one.
For a line to pass through the origin it needs to have a y intercept of 0, because the origin is the point (0,0).
Triangle ABC scalene triangle
Answer:
x=3
Step-by-step explanation:
The way you find x-intercepts is by setting y equal to 0. So then you just solve for x.
(0)-12=-2(x+3)-2(0)
-12= -2x -6 -0
-12 = -2x -6
-6 = -2x
x = 3
Hope this helped.
