Answer:
x > 77
Step-by-step explanation:
According to order of operations rules, we must carry out division before addition or subtraction. In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:
X/7-3>8
+3 +3
--------------
x/7 > 11
The easiest way in which to solve for x is to multiply both sides of this inequality by 7:
7(x/7) > 7(11), or
x > 77
All numbers greater than 77 are part of the solution set.
Answer:
$8
Step-by-step explanation:
Answer: 14 years
Step-by-step explanation:
Look at the graph and see where the line reaches $2500. Just by looking at the x-axis, you can rule out b and d since they deal with months not years
First, work out the equation of the graph.
Equation of a straight line graph is given in the form

where

is the slope of the line and

is the y-intercept.
The graph given shows the line intercept y-axis at (0, -1)
To work out the slope, choose any two coordinates then find their vertical and horizontal distance. Say we choose (0, -1) and (3, 0)
The vertical distance is 1 and the horizontal distance is 3, so the slope is
Then form the equation for the line


→ Multiply each term by 3

Now the inequality part, the shaded region is above the line, so the values intended are 'greater than' and the line is a bold line, so the inequality is 'greater than or equal to' and the symbol is ≥
The inequality is then
3y ≥ x - 3
Note: None of the options show this answer. Maybe check if the original options have been copied correctly.