Solve the inequality , find the max possible value for the variable.
3t + 1 < t + 12
2t < 11
t < 5.5
t_max = 5.5
For the second question just solve as two separate inequalities
4 +2 < x <= 7 + 2
6 <x <= 9
x in ]6, 9]
X - (9x - 10) + 11 = 12x + 3(-2x +

) equals
x = 
.
First, simplify brackets. / Your problem should look like: x - 9x + 10 + 11 = 12x + 3(-2x +

).
Second, simplify x - 9x + 10 + 11 to -8x + 10 + 11. / Your problem should look like: -8x + 10 + 11 = 12x + 3(-2x +

).
Third, simplify -8x + 10 + 11 to -8x + 21. / Your problem should look like: -8x + 21 = 12x + 3(-2x +

).
Fourth, expand. / Your problem should look like: -8x + 21 = 12x - 6x + 1.
Fifth, simplify 12x - 6x + 1 to 6x + 1./ Your problem should look like: -8x + 21 = 6x + 1.
Sixth, add 8x to both sides. / Your problem should look like: 21 = 6x + 1 + 8x.
Seventh, simplify 6x + 1 + 8x to 14x + 1. / Your problem should look like: 21 = 14x + 1.
Eighth, subtract 1 from both sides. / Your problem should look like: 21 - 1 = 14x.
Ninth, simplify 21 - 1 to 20. / Your problem should look like: 20 = 14x.
Tenth, divide both sides by 14. / Your problem should look like:

= x.
Eleventh, simplify

to

. / Your problem should look like:

= x.
Twelfth, switch sides. / Your problem should look like: x =

which is your answer.
X-intercept = (2 , 0)
y-intercept = (0 , -8)
Slope of the line:
m = (-8 - 0) / (0 - 2)
m = 4
y = 4x - 8
Oof I was going to answer this but it got me confusion.