HallsofIvy said:To draw a graph of this inequality, first draw the graph of the corresponding equation. x+ 5= 7. That. of course, is the same as "x= 2". It's graph, in a two dimensional "xy" graph, is the vertical line at x= 2. The set of points for which x+ 5< 7 is the set of points for which x< 2. That is, all points to the left of that vertical line.
Manula said:But if we take y=(x+5) and then, draw the graph, wouldn't it give different results??
The function x+5<7 represents an inequality, meaning that the value of x plus 5 is less than 7. This can also be written as "x is less than 2".
To graph this function, you will need to plot the points (2,0) and (3,0) on a coordinate plane, and then draw a dotted line connecting these points. This line represents all the values of x that make the inequality true. Then, shade in the area below the line to show that the values of x are less than 2.
Yes, you can solve for x in this inequality. To do so, subtract 5 from both sides of the inequality to get x<2. This means that any value of x that is less than 2 will make the inequality true.
No, the solution to this inequality is not a single number. Instead, it is a range of values that make the inequality true. In this case, the solution is all values of x that are less than 2.
Yes, you can use this function to solve real-life problems. Inequalities are commonly used to represent things such as budget constraints, weight limits, and temperature ranges. By graphing and solving for x, you can find the range of values that satisfy the given conditions.