Solve the inequality. Graph and check your solution.
StartFraction x Over 5 EndFraction greater thtycxan or equals minus 3
x
To solve the inequality, we can start by multiplying both sides of the inequality by 5 to isolate the variable x:
5 * (x/5) ≥ 5 * (-3)
This simplifies to:
x ≥ -15
To graph this solution, we can draw a number line and mark -15 as a closed circle (since x is greater than or equal to -15):
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To check the solution, we can choose a value greater than or equal to -15 and substitute it into the inequality. For example, let's choose x = 0:
0/5 ≥ -3
0 ≥ -3
This is true since 0 is greater than or equal to -3. Therefore, the solution is correct.
The graph of the solution is shown as a closed circle at -15 on the number line.