Question

Check whether the number is a solution of the equation or the inequality. \(7 m+2<12 ; 1\)

Short answer

Yes, 1 is a solution of the inequality.

Step-by-step solution

Identify the inequality

The inequality given in the problem is \(7 m+2<12\). We are also provided with a value for \(m\), which is 1.

Substitute the value into inequality

We substitute 1 for \(m\) into the inequality, resulting in \(7*(1)+2<12\), which simplifies to \(9<12\).

Confirm the validity of the inequality

After substituting the value for \(m\), the inequality became \(9<12\), which is a valid inequality since 9 is indeed less than 12.