1. Solve
(2x -3)< 14
2.Solve 3.2x + 20.8 > 52.0 -7.2x
1. Add 3 to both sides and then divide by 2. The < remains in the same direction
2. Add 7.2x to both sides. Subtract 20.8 from both sides. You are left with
10.4x > 31.2
Divide both sides by 10.4. The > remains pointed in the same direction, since you are dividing by a positive number.
i do not understand
That is how to solve the inequalities. I cannot explain it any other way, other than to do all the steps for you, and that would not help you understand. See if you can find a parent or classmate to help you understand what I wrote.
To solve the given inequalities, we will start by isolating the variable on one side of the inequality sign.
1. Solve (2x - 3) < 14:
To begin, let's add 3 to both sides of the inequality to eliminate the negative 3:
2x - 3 + 3 < 14 + 3
This simplifies to:
2x < 17
Next, we'll divide both sides of the inequality by 2 to solve for x:
2x/2 < 17/2
x < 8.5
The solution to the given inequality is x < 8.5.
2. Solve 3.2x + 20.8 > 52.0 - 7.2x:
First, let's combine like terms on each side of the inequality:
3.2x + 7.2x > 52.0 - 20.8
This simplifies to:
10.4x > 31.2
Next, we will divide both sides of the inequality by 10.4 to solve for x:
(10.4x)/10.4 > (31.2)/10.4
x > 3
The solution to the given inequality is x > 3.