im really stuck on this one

What is the solution to the linear inequality y ¡Ý 4x - 5 ?

the sign between y and 4x is the greater than or equal to sign

What is the solution to the linear inequality y ¡Ý 4x - 5 ?

y >= 4x-5

For inequalities, the solution is a whole set of numbers, not just one. Plot the line

y = 4x-5

Your inequality as as its solution everywhere in the whole x-y plane which is above that line, since that is where y is greater than the values lying on the line.

The line itself is included in the solution set.

To find the solution to the linear inequality y ≥ 4x - 5, we need to determine the values of x and y that satisfy the inequality.

Step 1: Start by graphing the linear equation y = 4x - 5. This is the boundary line for the inequality. To do this, plot a few points or use the slope-intercept form of a line (y = mx + b).

Step 2: Since the inequality is y ≥ 4x - 5, the shaded region will be above or on the boundary line. To determine which region represents the solution, we can choose a test point and substitute its coordinates into the inequality.

Step 3: Let's choose the origin (0,0) as our test point. Substitute the coordinates (0, 0) into the inequality: 0 ≥ 4(0) - 5. Simplifying, we get 0 ≥ -5. Since this is true, the region that includes the test point (0,0) is part of the solution.

Step 4: Shade the region above or on the boundary line to represent the solution set for the inequality.

Therefore, the solution to the linear inequality y ≥ 4x - 5 is the shaded region above or on the line y = 4x - 5.