How do I solve this?
-90>( with an line under that sign) 4T
I think you flip the sign or something? I'm not really sure..
Could someone please help?
If you divide or multiply both sides of an inequality by a positive number, you do not flip the direction of the sign.
In your case, divide both sides by 4 and you get
-22.5 > T
which can also be written
T < -22.5
(I left out the underline because I am too lazy to look up how to type it with ALT+ keys).
Thank you.. do you happen to know how I would graph this?
on a numberline?
Only the parts of the line to the left of -22.5 are solutions. Maybe they want you to show a heavier line there; I don't know the recommended graphical rules in your case.
To solve the inequality, you need to isolate the variable 'T'. The first step is to get rid of the constant -90 by adding 90 to both sides of the inequality:
-90 + 90 > 4T + 90
The -90 cancels out on the left side, leaving you with:
0 > 4T + 90
Next, you want to isolate 4T by subtracting 90 from both sides:
0 - 90 > 4T + 90 - 90
Simplifying further, you get:
-90 > 4T
Now, you correctly mentioned that you need to flip the inequality sign when you multiply or divide both sides of an inequality by a negative number. In this case, since 4 is positive, you don't need to flip the sign. However, to make the solution more intuitive, you can divide both sides by 4:
(-90) / 4 > (4T) / 4
Simplifying further:
-22.5 > T
So, the solution to the inequality is T < -22.5. In other words, any value of T that is less than -22.5 will satisfy the inequality.