Question

Identify the statement that describes the solutions of the inequality: 2 - 5h < 4.

A. All numbers greater than -8
B. All numbers less than -8
C. All numbers greater than or equal -8
D. All numbers less than or equal -8

Answer 1

The solution to the inequality 2 - 5h < 4 is h > -2/5.

Step-by-step explanation:

The inequality is 2 - 5h < 4. To solve this inequality, we need to isolate the variable h. We can start by subtracting 2 from both sides of the equation:

2 - 5h - 2 < 4 - 2

-5h < 2

Next, we divide both sides of the equation by -5. Since we are dividing by a negative number, the inequality sign will flip:

-5h/-5 > 2/-5

h > -2/5

So, the solution to the inequality is h > -2/5. In interval notation, the solution would be (-2/5, ∞).