-4
"y - x + 1" is not an inequality. It is a simple expression. If you want something like "y - x + 1 > 0" that would be an inequality. Rephrase and resubmit.
y
The shaded area of the graph of an inequality show the solution to the inequality. For example, if the area below y = x is shaded it is showing those ordered pairs which solve y < x.
To graph the inequality ( y + 2 > -3(x + 1) ), first, rearrange it to isolate ( y ): ( y > -3x - 3 - 2 ), which simplifies to ( y > -3x - 5 ). This represents a straight line with a slope of -3 and a y-intercept of -5. Since the inequality is strict (greater than), you would draw a dashed line for ( y = -3x - 5 ) and shade the region above the line to indicate all the points that satisfy the inequality.
no the graph will be written in slope intercept form or y=mx+b
8
If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.
To accurately determine which inequality is shown in the graph, I would need to see the graph itself. However, if the graph displays a shaded region above a line, it typically represents a "greater than" inequality (e.g., y > mx + b), while shading below the line indicates a "less than" inequality (e.g., y < mx + b). Additionally, if the line is solid, it indicates that the points on the line are included in the solution (≥ or ≤), whereas a dashed line indicates they are not (>, <).
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
The graph of a line represents a linear equation in two variables, typically in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept. In contrast, the graph of an inequality in two variables, such as (y < mx + b), includes a region that represents all the solutions to the inequality, often shaded to indicate the area where the inequality holds true. The boundary line for the inequality may be solid (for (\leq) or (\geq)) or dashed (for (<) or (>)). Thus, while both graphs can involve similar lines, their interpretations and representations differ significantly.
To write the slope-intercept inequality for a graph, first identify the slope (m) and y-intercept (b) from the line. If the line is dashed, the inequality will be either < or >, while a solid line indicates ≤ or ≥. For example, if the line has a slope of 2 and a y-intercept of 3, the inequality could be y < 2x + 3 if the region below the line is shaded. Be sure to adjust the inequality symbol based on the line type and the shaded area.