What is the opposite of -3?
2 answers:
Answer: 3
Step-by-step explanation: Here we're asked to determine the opposite of the following integer which is -3.
Think of the opposite of an integer in terms of a number line. The opposite of an integer is the same distance from zero as the original integer but on the opposite side of 0.
Since -3 is 3 units to the left of 0,
its opposite will be 3 units to the right of 0.
So the opposite of -3 is 3.
I have also shown my work on a number line on the whiteboard.
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Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality First, draw the dotted line
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality First, draw the solid line
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
