Shaundra wrote the inequality x/5 <= 6 .Which number line best represents the solution to the inequality?
The solution to the inequality x/5 <= 6 can be represented by the number line where all values of x that are less than or equal to 30 are shaded.
Here is the number line representation:
<------------------------------------------O-------->
-10 -5 0 5 10 15 20 25 30 35 40
In this representation, the shaded region is to the left of the point at 30 because all values of x that are less than or equal to 30 satisfy the given inequality x/5 <= 6.
Marcus’s mom lets him play video games for a certain amount of time each day. He has already spent 9 minutes playing video games and has fewer than 27 minutes left to play. The inequality
t – 9 < 27 can be used to determine the number of minutes Marcus has left to play video games.
Which number line best represents the solution to the inequality?
The inequality t - 9 < 27 can be solved for t by adding 9 to both sides:
t - 9 + 9 < 27 + 9
t < 36
This means that Marcus has fewer than 36 minutes left to play.
Here is the number line representation:
<---------------------------------O--------------------->
0 5 10 15 20 25 30 35 40 45 50
In this representation, the shaded region is to the left of the point at 36 because all values of t that are less than 36 satisfy the given inequality t - 9 < 27.
which side is shaded left or right?
The shaded region is to the left of the point at 36 on the number line. This indicates that the solution to the inequality t - 9 < 27 includes all values of t that are less than 36. In other words, Marcus has fewer than 36 minutes left to play video games. So, the left side is shaded to represent the solution to the inequality.
Pam wrote the equation 6x = 24. Which number line best represents the value of x?
The equation 6x = 24 can be solved by dividing both sides by 6:
6x/6 = 24/6
x = 4
This means that the value of x is 4.
Here is the number line representation:
<-------------------O---------------------------->
-5 0 5 10 15 20 25
In this representation, the point at 4 is where x is located on the number line. The solution to the equation is represented by the point at 4.