Solve and graph the following inequality −5a+17<62
To solve the inequality −5a+17<62, we can begin by subtracting 17 from both sides:
−5a+17-17<62-17
Simplifying the inequality gives:
−5a<45
Next, we divide both sides of the inequality by -5. Since we are dividing by a negative number, we need to reverse the direction of the inequality symbol:
−5a/(-5) > 45/(-5)
This gives us:
a > -9
So the solution to the inequality is a > -9.
To graph the solution, we can plot the number line and mark -9 as an open circle since the inequality is strictly greater than and does not include -9. Then, draw an arrow to the right to indicate all the values greater than -9.