To solve the inequality, we must isolate the variable x.
9.5x - 1.25 < 32
Adding 1.25 to both sides:
9.5x < 33.25
Dividing by 9.5:
x < 3.5
Now, we need to determine which graph shows the solution x < 3.5.
We can plot the graph on a number line as follows:
...........-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
....----------------------------------------->
The graph should show a shaded region to the left of 3.5, indicating that all values of x less than 3.5 satisfy the inequality.
Out of the given options, the graph that correctly shows the solution is the one with a shaded region to the left of 3.5.
Solve the inequality 9.5x−1.25<32 . Which of the following graphs shows the solution? (make a graph using -10 through 10)
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Example: -10 -9 -8 -7 (-6) -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
1 answer