The linear equality that will not have a shared solution with y >= -5/2xx - 3 is y < -5/2x - 7.
How to determine solution region of inequality
First Inequality: y >= -5/2xx - 3
Slope: -5/2
Y-Intercept: -3
Graph: Solid line (includes points on the line) and shade above the line.
Second Inequality: y < -5/2x - 7
Slope: -5/2
Y-Intercept: -7
Graph: Dashed line (does not include points on the line) and shade below the line.
Since the slopes are the same and the inequalities have opposite signs, the lines are parallel.
The region where y is both greater than or equal to -5/2x - 3 and less than -5/2x - 7 is the area above the solid line and below the dashed line.
Therefore, there is no shared solution region between these two inequalities. The solutions for each inequality are in different regions of the coordinate plane.