Question

Solve and graph the following inequality:

−5a+17<62 (1 point)
Responses

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality −5a+17<62, we can start by isolating the variable a.

First, we subtract 17 from both sides:

−5a + 17 - 17 < 62 - 17

Simplifying:

−5a < 45

Next, we divide both sides by -5. Remember that when dividing by a negative number, we need to flip the inequality sign:

−5a/-5 > 45/-5

Simplifying:

a > -9

So, the solution to the inequality is a > -9.

To graph this inequality, we can plot all values of a that are greater than -9 on a number line. We use an open circle at -9 to indicate that -9 is not included in the solution set, since the inequality is strict inequality (less than, not less than or equal to). Then, we extend an arrow to the right, indicating that the solution set includes all values greater than -9.

The graph would look like this:

<------o---------------------------------------->
-9

Note: The graph representation is difficult to depict here, as it requires a visual representation. It would be best to refer to a graphing tool or draw it on paper for better visualization.