Solve the inequality -12≤2x-4<10
1 answer:
You might be interested in
To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward
2) solve the inequality for y:
given: -2x + 5y > 15
transpose-2x: 5y > 15 + 2x
divide by 5: y > 3 + (2/5)x
3) Graph
- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.
- the solution is the region above and to the left of the dotted line.
4) See the figure attached for better visualization: the pink region is the solution of the inequality.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward
2) solve the inequality for y:
given: -2x + 5y > 15
transpose-2x: 5y > 15 + 2x
divide by 5: y > 3 + (2/5)x
3) Graph
- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.
- the solution is the region above and to the left of the dotted line.
4) See the figure attached for better visualization: the pink region is the solution of the inequality.
Answer:
An ice cream cone with 5 scoops cost is, $4.5
Step-by-step explanation:
As per the statement:
An ice cream stand uses the expression to determine the cost of an ice cream cone that has x scoops of ice cream.
⇒ Cost of an ice cream cone C(x) = .....[1]
Given: x = 5 scoops
We have to find the cost of an ice cream cone with 5 scoops cost.
Substitute the given value of x =5 in [1] we have;
C(5) =
C(5) = = 2 + 2.5 = $4.5
Therefore, an ice cream cone with 5 scoops cost is, $4.5