Solve using the addition & multiplication principles
8x-13<-45
Solution {x]x__ __}
8x < -32
x < -4
I do not understand your {x]x__ notation
Solve the equation for x as if it were an equal sign. The only difference is if you multiply both sides by a negative number, the inequality sign has to be reversed:
8x-13<45
After that, give the answer in set notation {x|x<??} or in interval notation (-∞,??)
To solve the inequality 8x - 13 < -45 using the addition and multiplication principles, you need to isolate the variable x.
Step 1: Add 13 to both sides of the inequality:
8x - 13 + 13 < -45 + 13
This simplifies to:
8x < -32
Step 2: Divide both sides of the inequality by 8 (the coefficient of x) to solve for x:
8x/8 < -32/8
This simplifies to:
x < -4
So, the solution for the given inequality is x < -4.