What is the solution set for the inequality 54 < 18×

3 < x

Step-by-step explanation:

54 < 18x

Divide each side by 18

54/18 < 18x/18

3 < x

x > 3

Step-by-step explanation: To solve the inequality 54 < 18x, since 18 is being multiplied by x, to get x by itself, we need to divide by 18 on both sides of the inequality.

On the right the 18's cancel and we are simply left with x. On the left, 54 divide by 18 is 3 so we have 3 < x.

As a general rule, it's a good idea to give your answer with the variable on the left side of the inequality. So we need to switch the order of the 3 and the x.

However if we switch the 3 and the x, we also need o switch the direction of the inequality sign. So 3 < x can be rewritten as x > 3.