Solve the inequality 9.5x - 1.25 < 32. and show it on a number line
To solve the inequality 9.5x - 1.25 < 32, we need to isolate the variable x.
Adding 1.25 to both sides of the inequality:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25
Dividing both sides of the inequality by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5
To show this solution on a number line, we mark a point at 3.5 and shade the area to the left of it. This represents all the values of x that satisfy the inequality x < 3.5.
Number line:
<====[-------|---------------------]====>
-4 -3 -2 -1 0 1 2 3 4
In the shaded region, x can take any value less than 3.5.