Solve the inequality : 2x+3 =< 13
3 Answers | Add Yours
Given the inequality: 2x+3 =< 13
We need to find all possible x values that satisfies the inequality.
First we will need to isolate x on the left side.
==> 2x+3 =< 13
Subtract 3 from both sides.
==> 2x =< 10
Now we will divide by 2.
==> x =< 5
Then, the equality holds for all x values equal or less than 5.
==> x = ( -inf, 5]
We have to solve 2x + 3 <= 13
2x + 3 <= 13
=> 2x =< 13 - 3
=> 2x =< 10
=> x =< 5
The value of x lies in (-inf. , 5]
All we need to know is to determine the segment of the line that is below x axis. For this reason, we'll find out x values that makes the expression of the linear function to be negative:
2x + 3 - 13 =< 0
2x - 10 =< 0
2x =< 10
x =< 5
The values of x, for the segment of linear function is found below x axis, are located in the semi-closed interval (-infinite , 5].
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes