Question

Solve and g r a p h the solution for this i n e q u a l i t y. _3× + 5< 23 need help solving and graphing to steps i n e q u a l i t i e s with negative c o e f f i c i e n t s 16 points

Answer 1

To solve the inequality -3x + 5 < 23, you can follow these steps:

Step 1: Start by subtracting 5 from both sides of the inequality:
-3x + 5 - 5 < 23 - 5
-3x < 18

Step 2: Divide both sides of the inequality by -3. Since the coefficient is negative, the inequality sign will flip:
-3x / -3 > 18 / -3
x > -6

So, the solution to the inequality is x > -6.

To graph the solution on a number line, you can draw a line and mark -6 as an open circle (because x is strictly greater than -6). Then, shade the line to the right of -6 to indicate that any value greater than -6 is a solution.

Graphing a number line with an open circle at -6 and shading to the right:

```
-8 -7 -6 -5 -4 -3 -2 -1 0 1 ...
o----->
```

Note: The open circle indicates that -6 is not included in the solution, and the shading to the right shows that any value greater than -6 is a solution.