See the accompanying answer:
The graph of an inequality is a region, not a line.
To write a compound inequality from a graph, first identify the critical points where the graph changes direction or has boundaries. Determine the intervals represented by the shaded regions—if they are open or closed. Then, express the relationship between these intervals using "and" (for overlapping regions) or "or" (for separate regions) to form the compound inequality. Finally, use inequality symbols to represent the boundaries of each interval accurately.
A
You can graph an equation or an inequality but you cannot graph an expression.
False
The graph of an inequality is a region, not a line.
If everything to the left of -9 on a graph is shaded, the inequality represented is ( x < -9 ). This means that all values of ( x ) that are less than -9 are included in the solution set. The shaded region on the graph indicates that the inequality does not include -9 itself, which is typically represented by an open circle at that point.
To determine the inequality represented by the graph, we need to analyze the lines and their slopes. If the line has a positive slope and the region above the line is shaded, it likely corresponds to option (1) or (3). If the line has a negative slope and the region below the line is shaded, it corresponds to option (2) or (4). Without seeing the graph, I can't specify which inequality it is, but you can use these clues to identify the correct option.
To write a compound inequality from a graph, first identify the critical points where the graph changes direction or has boundaries. Determine the intervals represented by the shaded regions—if they are open or closed. Then, express the relationship between these intervals using "and" (for overlapping regions) or "or" (for separate regions) to form the compound inequality. Finally, use inequality symbols to represent the boundaries of each interval accurately.
-4
a graph
To write the inequality represented by a graph, first identify the boundary line, which can be solid (indicating '≤' or '≥') or dashed (indicating '<' or '>'). Determine which side of the line is shaded, as this indicates the solution set. Use a test point, often the origin (0,0), to confirm whether it satisfies the inequality. Finally, combine this information to express the inequality in standard form.
we should prevent inequality by
graph the inequality 5x+2y<4
A
You can graph an equation or an inequality but you cannot graph an expression.
If the line is undefined in a graphed inequality, it typically represents a vertical line, which corresponds to a vertical inequality such as ( x = a ). In this case, the inequality can be written as ( x < a ) or ( x > a ). The graph will shade to the left or right of the line, indicating the region that satisfies the inequality. Since the line itself is not included in the inequality, it is often represented with a dashed line.