Question
Grach the inequality. yleqslant -2x+1
Solution
4.6
(146 Votos)
Elene
Profissional · Tutor por 6 anos
Resposta
To graph the inequality
, follow these steps:1. **Graph the boundary line**: First, graph the equation
. This is a straight line with a slope of -2 and a y-intercept of 1. - To plot this line, start at the y-intercept (0, 1). - Use the slope to find another point. Since the slope is -2, it means for every 1 unit you move to the right on the x-axis, you move 2 units down on the y-axis. So, from (0, 1), move to (1, -1).2. **Draw the line**: Connect these points with a straight line. Since the inequality is
(less than or equal to), the line should be solid, indicating that points on the line are included in the solution.3. **Shade the region**: Since the inequality is
, shade the region below the line. This represents all the points where
is less than or equal to
.Here is a step-by-step visual representation:- Plot the y-intercept (0, 1).- From (0, 1), move right 1 unit and down 2 units to plot (1, -1).- Draw a solid line through these points.- Shade the region below the line.The final graph will show a solid line passing through (0, 1) and (1, -1), with the region below the line shaded.