Question

graph
Solve and graph this inequality:

5−3x−2≥−15 Open or closed

Answer 1

To solve the inequality 5 - 3x - 2 ≥ -15, we first need to simplify the expression:

5 - 3x - 2 ≥ -15
3 - 3x ≥ -15

Next, let's isolate the variable by subtracting 3 from both sides:

-3x ≥ -15 - 3
-3x ≥ -18

Now, let's divide both sides by -3. Since we divide by a negative number, the inequality sign will flip:

x ≤ (-18)/-3
x ≤ 6

So the solution to the inequality is x ≤ 6.

To graph this inequality on a number line, we put a closed circle (because of the "≤" sign) at 6 and shade all the numbers to the left of 6:

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