Which of the following is the solution to the inequality?

\[ y > -\frac{1}{2}x + 4 \]

Option 1: $ y < \frac{1}{2}x + 4 $

Option 2: $ y \geq \frac{1}{2}x + 4 $

Option 3: $ y \leq -\frac{1}{2}x + 4 $

Option 4: $ y > -\frac{1}{2}x - 4 $

The original inequality is y > -(1/2)x + 4 and none of the provided options are a perfect match. However, Option 3: y ≤ -(1/2)x + 4 is the closest, with the only difference being the direction of the inequality sign.

The student wants a solution to the inequality y > -(1/2)x + 4. Looking at all the provided answers/options, the correct answer does not seem to be included among them as none match exactly to the inequality given. However, if we look at the choices logically, the closest option to the original inequality would be Option 3: y ≤ -(1/2)x + 4. The main difference is the direction of the inequality sign. In the original inequality, y is greater. In this option, y is lesser or equal.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ11

Which of the following is the solution to the inequality? \[ y > -\frac{1}{2}x + 4 \]Option 1: \( y < \frac{1}{2}x + 4 \)Option 2: \( y \geq \frac{1}{2}x + 4 \)Option 3: \( y \leq -\frac{1}{2}x + 4 \)Option 4: \( y > -\frac{1}{2}x - 4 \)

Answer :

Other Questions

Which of the following is the solution to the inequality?

\[ y > -\frac{1}{2}x + 4 \]

Option 1: \( y < \frac{1}{2}x + 4 \)

Option 2: \( y \geq \frac{1}{2}x + 4 \)

Option 3: \( y \leq -\frac{1}{2}x + 4 \)

Option 4: \( y > -\frac{1}{2}x - 4 \)