Question

Which linear equality will not have a shared solution

set with the graphed linear inequality?
A) 2/5x+2
B)-5/2x-7
C)-2/5x-5
D)5/2x+2

Answer 1

The correct option is D). To determine which linear equality will not have a shared solution set with the graphed linear inequality, we need to compare the slopes of the equations.

Step-by-step explanation:

To determine which linear equality will not have a shared solution set with the graphed linear inequality, we need to compare the slopes of the equations. If the slopes are equal, the equations will have a shared solution set. If the slopes are different, the equations will not have a shared solution set.

Let's compare the slopes of each given linear equality with the graphed linear inequality.

1. The equation 2/5x+2 has a slope of 2/5.
2. The equation -5/2x-7 has a slope of -5/2.
3. The equation -2/5x-5 has a slope of -2/5.
4. The equation 5/2x+2 has a slope of 5/2.

Comparing these slopes with the slope of the graphed linear inequality will help us determine which linear equality will not have a shared solution set. The correct answer is D) 5/2x+2 because its slope is different from the slope of the graphed linear inequality.