To determine: a) The solution of the equation −x−2=0 b) The solution of inequality −x−2&lt;0 c) The solution of inequality −x−2≥0

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To determine: a) The solution of the equation −x−2=0 b) The solution of inequality −x−2&amp;lt;0 c) The solution of inequality −x−2≥0

Melinda Olson · Accepted Answer

Given: The graph:  Concepts used: In graphical method of solving linear equations, we look at the point where our line crosses x axis. The value of x where graph crosses x axis is our solution. In graphical method of solving linear inequalities, we consider all the expressions involved in inequality as set of different lines. Then we graph all the lines and look at the intersection points. Finnaly, depending upon the signs of inequality, we can decide what our final answer will be. Calculation: a) From the graph, we can see that the line meets x axis at x=−2. Therefore, solution of the equation −x−2=0 is x=−2 b) From the graph, we can see that the line y=−x−2 is below the x axis for the interval (−2,∞). Therefore, solution of inequality −x−2&amp;lt;0 is (−2,∞). c) From the graph, we can see that the line y=−x−2 is above the x axis for the interval (−∞,−2]. Therefore, solution of inequality −x−2≥0 is (−∞,−2] Conclusion: a) Solution of the equation is x=−2 b) Solution of inequality is (−2,∞) c) Solution of inequality is (−∞,−2]

To determine:a) The solution of the equation -x-2=0b) The soluti

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