5x > -20 divide both sides by 5;
x > -4
On a number line graph all real numbers to the right of -4 and use an open dot at -4 to indicate that -4 is not a solution.
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If the graph is a two-dimensional plane and you are graphing an inequality, the "greater than or equal to" part will be shown by two things: (1) a solid, not a dotted, line--this part signifies the "or equal to" option--and (2) which region you shade. Shade the region that contains the points that make the inequality true. By shading that region, you are demonstrating the "greater than" part.
x ≥ -4
Draw the graph of the corresponding equality. This will divide the Cartesian plane into two parts.Evaluate the inequality for the origin, O - the point (0,0). Any point will do, but O it is easy to evaluate it there.It the inequality is true, then the part of the plane that contains the origin is the valid region whereas if the inequality is false, the other region is valid.
The answer depends on what space you are working in. In 1-dimensional space, it would be like the number line and the relevant part of the graph would be all point at or to the right of the value 5.
No, -4 is not a solution to the inequality x ≥ 4. In order for -4 to be a solution, it must make the inequality true when substituted for x. Since -4 is less than 4, it does not satisfy the condition of being greater than or equal to 4. Therefore, -4 is not a solution to the inequality x ≥ 4.