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LHS−9x≤RHS−9x
LHS/3≤RHS/3
Write as a sum of fractions
Put minus sign in front of fraction
ca⋅b=ca⋅b
Calculate quotient
Symbol | Meaning | Type | Boundary Line |
---|---|---|---|
< | Less than | Strict | Dashed |
> | Greater than | Strict | Dashed |
≤ | Less than or equal to | Non-strict | Solid |
≥ | Greater than or equal to | Non-strict | Solid |
Therefore, in the given example, the line is solid. The boundary line can be graphed using y-intercept and slope.
If the test point is a solution to the inequality, the region that contains it must be shaded. Otherwise, the opposite region must be shaded.
In this case, the test point (0,0) is a solution to the inequality. The region containing (0,0) lies to the left of the boundary line. This is the region that must be shaded.