Which is the graph for the linear inequality 1/2x-2y>-6
2 answers:
Answer:
The correct option is option B. See the graph attached.
Step-by-step explanation:
HOW TO GRAPH A LINEAR INEQUALITY
1. Rearrange the equation so "Y" in the equation will be on the left side while everything else will be on the right side of the equation
The inequality equation given is 1/2x =2y > -6, if we rearrange it, then
y > x/4 + 3
2. Plot the "Y=" line such that you make it solid for Y< =or Y = > and dash line for Y< or Y>. In our question we will use dash lines
3. Shade the area above the line if Y is greater than or greater than/equal to (Y> or Y>=). Shade the area below the line if Y is lesser than or lesser than/equal to (Y< or Y<=)
Based on the step above, we can see the option B in the list of graph is the correct answer. The line was drawn using dash lines and the area above the graph is the shaded area. For the purpose of clarity please see attached the correct option chosen.
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