7x - 7 ≥ 8 (add 7 to both sides)
7x ≥ 15 (divide to both sides by 7)
x ≥ 15/7 or 2 1/7
All real numbers greater than or equal to 15/7 are solutions.
Graph on a number line all real numbers to the right of 15/7, and use a closed dot to indicate that 15/7 is a solution.
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The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....
-4
If the inequality includes 'or equal' then use a solid dot [the value is included]. If it doesn't use 'or equal' then use the open dot.
An equation has an equal sign, which means that we know what the variable is equal to :)