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. 6x / 6 < 30 / 6 x < 5Check for errors: Check for any math errors in the previous step. We divided both sides of the inequality by a positive number, which does not change the direction of the inequality. The division was done correctly: 6x / 6 = x and 30 / 6 = 5. No math errors were made.Interpret solution: Interpret the solution of the inequality. The solution set for the inequality x < 5 includes all real numbers less than 5. This means any number less than 5 will satisfy the inequality 6x < 30.

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6 x<30

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Math Problems

Grade 8

Solve one-step inequalities

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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.