solve and graph the solution for this inequality. -3x + 5 < 23 but the < has a line underneath it.

Answer 1

To solve the inequality, we can follow these steps:

-3x + 5 ≤ 23

First, we subtract 5 from both sides to isolate the variable:

-3x ≤ 23 - 5
-3x ≤ 18

Next, we divide both sides by -3. However, remember that when you divide by a negative number, the inequality changes direction:

x ≥ 18 / -3
x ≥ -6

The solution for this inequality is x ≥ -6.

To graph the solution on a number line, we start by plotting a closed circle on -6 since x is greater than or equal to -6. Then, we draw a line extending to the right to indicate all the numbers greater than -6.

------------------> (+∞)
-6 -5 -4 -3 -2 -1 0

So, the graph for the solution x ≥ -6 would look like this:

---------------------•---> (+∞)
-6 -5 -4 -3 -2 -1 0