1. Is (6,7) a solution to the inequality y> 2x - 5?
1 answer:
Answer:
Step-by-step explanation:
<em>Step 1: Consider the assumption:</em>
Generally, ) is supposed to be the pair of 2 components, in which, the first component is x-component (domain), the second component is y-component (range).
Hence,
<em>Step 2: Substitute </em><em> and </em>
<em> into the inequality</em>
<=>
<em>Step 3: Simplify</em>
<=>
<=>
<em>Step 4: Evaluate</em>
Invalid
Reason:
<em>Step 5: Conclude</em>
is not a solution to the inequality
Hope this helps!
:)
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The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
