1. Chelsea posted the video of her dog catching fish in the pond. On the first day, it
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<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
For this case we have that by definition, the slope of a line is given by:
Where:
and
are two points through which the line passes.
According to the image we have:
Substituting we have:
Thus, the slope of the line is:
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