Solve the inequality and graph its solution: –14 < 7t < 21
2 answers:
Answer:
The solution of the inequality is -2 < t < 3 and the graph is the attachments
Step-by-step explanation:
In order to solve this inequality you can use this rule if a < u < b then a < u and u < b, so -14 < 7t and 7t < 21.
The first inequality:
-14 < 7t = 7t > -14 = 7t/7 > -14/7 = t > -2
The second inequality:
7t < 21 = 7t/7 < 21/7 = t < 3
Merge overlapping intervals gives you the solution:
-2 < t < 3
The solution to this inequality is the set of all real numbers t that are less than 3, and greater than -2 not including -2 and 3. The solution is represented by a line.
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Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Remember that
The unit rate of change is the same as the slope
so
In this problem
The linear equation is equal to
To graph the line we need two points
we have (0,0) because the line passes through the origin
Determine other point
assume a value of x and calculate the value of y
For x=8
The other point is (8,3)
Plot the points and join them to draw the line
The graph in the attached figure
