Mark B. answered 05/24/17
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The first equation can be transformed:
-8x >= 60 -14
-8x >= 46
-x >= 5.75
x <= -5.75
The second equation becomes:
-x < 2
x > -2
Therefore x <= -5.75 OR x > -2
x <= -5.75 ∪ x > -2
Check: Try something inbetween like -4 and both original inequalities are not true. Try numbers within the union and verify that they are true for one or the other of the original inequalities.
-8x >= 60 -14
-8x >= 46
-x >= 5.75
x <= -5.75
The second equation becomes:
-x < 2
x > -2
Therefore x <= -5.75 OR x > -2
x <= -5.75 ∪ x > -2
Check: Try something inbetween like -4 and both original inequalities are not true. Try numbers within the union and verify that they are true for one or the other of the original inequalities.