Question

Solve for x and write in inequality notation.

25 < -3x + 10
a. x > -5
b. x < 5
c. x < -5
d. x > 5

Answer 1

To solve for x in the inequality 25 < -3x + 10, subtract 10 from both sides to get 15 < -3x and then divide both sides by -3 to get x > -5. Thus, the solution in inequality notation is x > -5.

Step-by-step explanation:

To solve for x in the inequality 25 < -3x + 10, start by isolating the variable on one side of the inequality:

1. Subtract 10 from both sides to get: 15 < -3x.
2. Next, divide both sides by -3, remembering that dividing by a negative number will flip the inequality sign: x > -5.

The solution in inequality notation is x > -5.