# How to graph inequalities

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Block 5

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• Mr.Bowman﻿ I don't understand how to graph inequalities,can﻿﻿ you explain?
• For example, x+y>2 and -4x+2y<8﻿ would become Y>-x+2 and Y<2x+4
• Sure thing, Amelia. First you change the inequalities into slope intercept form.
• ﻿Then you have to determine whether it's a dashed line or a solid line by looking at the inequality sign.
• < > <﻿ >﻿
• The inequality with a less than or more than sign would have a dashed line.﻿
• - - - - - - - - - - - - - - - - - - - ﻿
• - - - - - - - - - - - - - - - - - - - ﻿
• The inequality with a less than or equal to or more than or equal to sign would be a regular line.
• ﻿For Example, in y>2x+7, 7 would be the y-intercept which is (0,7).
• ﻿after you determine the line, you plot the y-intercept which is determined by b in the formula, y=mx+b (instead of = it would be an inequality).
• For Example, if the slope was 1/2, from the y-intercept you would go up one and then two to the right. if it was -1/2, you would go down one and two to the left.
• After you find the y-intercept, you plot the points and draw the line by using rise over run and the slope.﻿
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