To solve the inequality x/3 < -2, we can multiply both sides of the inequality by 3 to eliminate the fraction. However, since we are multiplying by a negative number, we need to reverse the inequality sign.
Multiplying both sides by 3 and reversing the inequality sign, we get:
x < -6
To graph this solution, we need to draw a number line and mark the point -6. Since the inequality is less than, we shade the part of the number line to the left of -6.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
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x< -6
To check the solution, we can plug in a value from the shaded region into the inequality and see if it holds true. Let's choose x = -7.
(-7/3) < -2
-7/3 is approximately -2.33
-2.33 is less than -2, so the inequality holds true.
Therefore, the solution to the inequality x/3 < -2 is x < -6.
Solve the inequality. Graph and check your solution.
x / 3 < - 2
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