Question

Solve each inequality. The graph the inequality. -7 - r/5 < 6

Answer 1

To solve the inequality -7 - r/5 < 6, simplify to get r > -65. Graph by shading the number line to the right of -65.

Step-by-step explanation:

To solve the inequality -7 - r/5 < 6, we first isolate the variable:

-7 - r/5 + 7 < 6 + 7
- r/5 < 13

Then, we multiply both sides by -5 (remembering to reverse the inequality sign because we are multiplying by a negative number):

-5(- r/5) > -5(13)
r > -65

So, the solution to the inequality is r > -65. To graph the inequality, draw a number line, place a point at -65, and shade to the right, indicating all numbers greater than -65.