I Have to solve for an equation 6<x+5<11.I Got this for the equation 1<x and x<6.I'm not to sure on what to do next to got the solution.
Hmmm
6<x+5<11
subtract six
0<x-1<5
add one
1<x<6 check that, if right, it is the solution
To solve the inequality 6 < x + 5 < 11, you correctly started by subtracting 5 from all parts of the inequality:
6 - 5 < x + 5 - 5 < 11 - 5
1 < x < 6
This means that x is greater than 1 and less than 6. However, if you are unsure how to proceed, here are the steps:
1. Subtract 5 from all parts of the inequality:
6 - 5 < x + 5 - 5 < 11 - 5
1 < x < 6
2. Simplify the inequality:
1 < x < 6
Now you have the solution to the inequality. It means that x must be greater than 1 and less than 6.