Which of the following number lines represents the solution for 3x + 12 ≤ 24 ?
1 answer:
Answer:
Option (2)
Step-by-step explanation:
Given inequality is,
3x + 12 ≤ 24
3x + 12 - 12 ≤ 24 - 12
3x ≤ 12
x ≤ 4
Now we can plot this inequality on a number line.
An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.
Therefore, Option (2) will be the correct option.
You might be interested in
9514 1404 393
Answer:
30 small chairs and 24 large chairs
Step-by-step explanation:
Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...
20x +50y = 30×60
60x +90y = 66×60
Removing common factors, these can be written in standard form as ...
2x +5y = 180
2x +3y = 132
Subtracting the second equation from the first gives ...
2y = 48
y = 24 . . . . . divide by 2
Using the first equation to find x, we have ...
2x +5(24) = 180
2x = 60 . . . . . . . . . . subtract 120
x = 30 . . . . . . . . divide by 2
The company can build 30 small chairs and 24 large chairs in a day.
