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To solve the inequality
, start by eliminating the fraction. You can do this by multiplying both sides of the inequality by 3, which gives you:
Now, we’ve isolated
. This means that any value of
greater than -6 will satisfy the inequality. Fun fact: if you were to graph this on a number line, you’d shade everything to the right of -6, which visually shows all the numbers that work in our solution!
Remember, when solving inequalities, if you multiply or divide by a negative number, you have to flip the inequality sign. Since we multiplied by a positive number (3), the direction of the inequality remains the same. Keep that in mind for future references!