Plz help with the slope intercept inequality
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The inequality given is in one variable, so the plot of its solution is on a number line. There is no slope or intercept.
The solution of the given inequality is 11 < x. The "Number line" plot at the source link is a plot of it.
_____
The "inequality plot" at the source link is a plot of two functions.
.. y = 22
.. y = 2x
The shaded region in that plot is where 2x > 22. This is only partly related to your question, so do not be confused by it.
__________
When you have a "slope-intercept inequality" such as (for example)
.. y > 2x - 22
you plot it by plotting the line
.. y = 2x - 22
in the usual way. When the relation does not include "or equal to", as is the case here, the line is plotted as a dashed line. The line itself is *not* part of the solution set. (The line *is* part of the solution set if the inequality includes the "equal to" case, as in "less than or equal to" for example.)
After plotting the line, you take a look at the inequality. If y values greater than those on the line (as in this example) will satisfy the inequality, then the solution set is the half-plane above the line. You shade that in and declare it to be the solution. Otherwise, the solution is the area below the line. The second source link illustrates the shading for this example.
The solution of the given inequality is 11 < x. The "Number line" plot at the source link is a plot of it.
_____
The "inequality plot" at the source link is a plot of two functions.
.. y = 22
.. y = 2x
The shaded region in that plot is where 2x > 22. This is only partly related to your question, so do not be confused by it.
__________
When you have a "slope-intercept inequality" such as (for example)
.. y > 2x - 22
you plot it by plotting the line
.. y = 2x - 22
in the usual way. When the relation does not include "or equal to", as is the case here, the line is plotted as a dashed line. The line itself is *not* part of the solution set. (The line *is* part of the solution set if the inequality includes the "equal to" case, as in "less than or equal to" for example.)
After plotting the line, you take a look at the inequality. If y values greater than those on the line (as in this example) will satisfy the inequality, then the solution set is the half-plane above the line. You shade that in and declare it to be the solution. Otherwise, the solution is the area below the line. The second source link illustrates the shading for this example.