Question

Check whether the number is a solution of the equation or the inequality. \(n+2 \leq 2 n-2 ; 4\)

Short answer

Yes, the number \(4\) is a solution to the given inequality \(n+2 \leq 2 n-2\).

Step-by-step solution

Substitute the given number into the equation

Replace all instances of \(n\) in the inequality with \(4\), the number that we are checking. The inequality now becomes \(4 + 2 \leq 2 * 4 - 2\).

Simplify both sides of the inequality

On the left side, \(4 + 2\) simplifies to \(6\). On the right side, \(2 * 4 - 2\) simplifies to \(6\). Therefore, the inequality now is \(6 \leq 6\).

Verify the inequality

In this case, we see that both sides of the inequality are equal, which means the inequality is true. Therefore, \(4\) is a solution for the inequality \(n+2 \leq 2 n-2\).