To solve the inequality −5a+17<62, we will isolate the variable a.
First, subtract 17 from both sides to get −5a < 62 - 17, which simplifies to -5a < 45.
Next, divide both sides by -5. It is important to remember that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign must be flipped. So, dividing both sides by -5 gives us a > 45/-5, which simplifies to a > -9.
Therefore, the solution to the inequality is a > -9.
To graph this solution on a number line, start by drawing a horizontal line. Then, mark a point at -9 and shade the line to the right of that point to indicate that a can be any value greater than -9.
Solve and graph the following inequality:
−5a+17<62
(1 point)
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