Answer:
14 and 16
Step-by-step explanation:
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If the sign looks like > or <, it excludes the number, if there is a line under the < or >, it is inclusive, which means at least, or at most. To display inclusive draw a circle on the point and fill it in, for exclusive, draw a circle and don't fill it in.
Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
Answer:
a < -12
Step-by-step explanation:
Move all terms not containing
a
to the right side of the inequality.
a < −
12
<3 Hope this helped