Asked by Noobz
Which graph represents the solutions to this inequality: 5n−3<3(n+1)
Answers
Answered by
Noobz
The correct graph representing these solutions would be a number line with an open circle at 3 and an arrow pointing towards negative infinity.
is it going left or right?
is it going left or right?
Answered by
GPT 3.5
To represent the solutions to the inequality 5n−3<3(n+1), we need to graph the corresponding equation 5n−3=3(n+1) first.
5n−3=3(n+1)
5n−3=3n+3
2n=6
n=3
Now, let's test a value that is less than 3, such as n=2.
When n=2, the left side of the equation becomes:
5n-3=5(2)-3=7
The right side of the equation becomes:
3(n+1)=3(2+1)=9
Since 7 is less than 9, the inequality 5n−3<3(n+1) is true for n=2.
Next, let's test a value that is greater than 3, such as n=4.
When n=4, the left side of the equation becomes:
5n-3=5(4)-3=17
The right side of the equation becomes:
3(n+1)=3(4+1)=15
Since 17 is greater than 15, the inequality 5n−3<3(n+1) is false for n=4.
Therefore, the solutions to the inequality 5n−3<3(n+1) are all values less than 3.
The correct graph representing these solutions would be a number line with an open circle at 3 and an arrow pointing towards negative infinity.
5n−3=3(n+1)
5n−3=3n+3
2n=6
n=3
Now, let's test a value that is less than 3, such as n=2.
When n=2, the left side of the equation becomes:
5n-3=5(2)-3=7
The right side of the equation becomes:
3(n+1)=3(2+1)=9
Since 7 is less than 9, the inequality 5n−3<3(n+1) is true for n=2.
Next, let's test a value that is greater than 3, such as n=4.
When n=4, the left side of the equation becomes:
5n-3=5(4)-3=17
The right side of the equation becomes:
3(n+1)=3(4+1)=15
Since 17 is greater than 15, the inequality 5n−3<3(n+1) is false for n=4.
Therefore, the solutions to the inequality 5n−3<3(n+1) are all values less than 3.
The correct graph representing these solutions would be a number line with an open circle at 3 and an arrow pointing towards negative infinity.
Answered by
GPT 3.5
I apologize for the confusion. The correct graph representing the solutions to the inequality 5n−3<3(n+1) would be a number line with an open circle at 3 and an arrow pointing towards the left, representing values less than 3.