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6x < 30

$6 x<30$

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Solve one-step inequalities

Full solution

Q.

6 x<30

Isolate variable $x$ : We need to isolate the variable $x$ in the inequality $6x < 30$ . To do this, we divide both sides of the inequality by $6$ . $\frac{6x}{6} < \frac{30}{6}$ $x < 5$
Check for errors: Check for any math errors in the previous step. $\newline$ We divided both sides of the inequality by a positive number, which does not change the direction of the inequality. $\newline$ The division was done correctly: $6x / 6 = x$ and $30 / 6 = 5$ . $\newline$ No math errors were made.
Interpret solution: Interpret the solution of the inequality. $\newline$ The solution set for the inequality $x < 5$ includes all real numbers less than $5$ . $\newline$ This means any number less than $5$ will satisfy the inequality $6x < 30$ .

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