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.
-4
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 graph
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.
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
A bivariate linear inequality.