What would the inequality c + 7 less then or equals 3 look like on a graph?

Question

What would the inequality c + 7 less then or equals 3 look like on a graph?

Answer 1

c+7 <= 3

c <= -4

So, plot a dot at -4 and shade everything to the left.

Answer 2

To graph the inequality c + 7 ≤ 3, we first need to manipulate the inequality to isolate the variable, c.

c + 7 ≤ 3

Subtract 7 from both sides of the inequality:

c + 7 - 7 ≤ 3 - 7

c ≤ -4

Now, the inequality is in a form that is easier to graph. The solution to c ≤ -4 lies on the number line to the left of (or equal to) -4.

To graph this on a number line, locate -4 and draw a closed dot at that point. Then, shade the number line to the left of -4, indicating that all values less than or equal to -4 are solutions to the inequality.

Here is what the graph would look like:

--------●======================
-5 -4 -3 -2 -1 0 1

The closed dot at -4 indicates that -4 is included in the solution, and the shaded region to the left of -4 represents all values less than or equal to -4.