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.