solve using the multiplication principle -3a<-15
solve usins addition and multiplication 3c+4<-6
3c+4-4<-6+4
3c<-2
3c/3<2/3
c<-2/3 is this right
No.
Your error is in this line:
3c+4-4<-6+4
You should subtract 4 from both sides.
-6 and -4 = -10
To solve the inequality -3a < -15 using the multiplication principle, we want to isolate the variable "a" on one side of the inequality.
First, divide both sides of the inequality by -3, remembering to reverse the inequality sign because we are dividing by a negative number:
-3a / -3 > -15 / -3
This simplifies to:
a > 5
So, the solution to the inequality -3a < -15 is a > 5.
Now, let's move on to the second problem.
To solve the inequality 3c + 4 < -6 using addition and multiplication, we want to isolate the variable "c" on one side of the inequality.
First, subtract 4 from both sides of the inequality:
3c + 4 - 4 < -6 - 4
This simplifies to:
3c < -10
Next, divide both sides of the inequality by 3:
(3c) / 3 < (-10) / 3
This simplifies to:
c < -10/3
So, the solution to the inequality 3c + 4 < -6 is c < -10/3.
Therefore, c < -10/3 is the correct solution.