19) \( n+46<-10 \)

To solve the inequality \( n + 46 < -10 \), we begin by isolating \( n \). We can do this by subtracting 46 from both sides: \[ n < -10 - 46 \] This simplifies to: \[ n < -56 \] Hence, any value less than -56 will satisfy the inequality. So, if you pick a number like -57, it works, but if you pick -55, it does not! Now that we have the solution, remember that inequalities can represent a range of numbers, and you can always check your work by plugging values back into the original inequality to see if they satisfy it. Don't overlook checking whether your solution touches any boundaries!