Solve the inequality and graph on the number line below. The inequality is 3.50x ≤ 100
To solve the inequality 3.50x ≤ 100, we need to divide both sides by 3.50.
Dividing both sides by 3.50, we get:
x ≤ 100 / 3.50
x ≤ 28.57
The solution to the inequality is x ≤ 28.57.
To represent this on a number line, we draw a closed circle at 28.57 and shade the line to the left of it to indicate all values less than or equal to 28.57.
To solve the inequality 3.50x ≤ 100, we need to isolate the variable x.
Step 1: Divide both sides of the inequality by 3.50 to remove the coefficient.
3.50x / 3.50 ≤ 100 / 3.50
Simplifying, we get:
x ≤ 28.57
Now, let's graph this on a number line.
On the number line, we will represent the range of x from negative infinity to 28.57, with 28.57 included in the solution.
The graph on the number line will look like this:
-∞ ----------------------28.57========================>
To solve the inequality 3.50x ≤ 100, you need to isolate the variable x.
Step 1: Divide both sides of the inequality by 3.50 to isolate x:
3.50x/3.50 ≤ 100/3.50
x ≤ 28.57
Step 2: Graph the solution on the number line. To do this, draw a number line and mark the point 28.57 (or approximately 28.6) with an open circle, since x is less than or equal to 28.57.
Finally, shade the portion of the number line to the left of the open circle, indicating that any value of x that is less than or equal to 28.57 satisfies the original inequality.
Here is a visual representation of the number line graph for the inequality 3.50x ≤ 100:
---------o-----------------------------
28.57
The shaded part to the left of the open circle represents the solution to the inequality.