Write an inequality for the given statement: The product of 5 and a number is at least –25

Question

debbieg · Answer

If I said "z is at least -25", how would you write that?

anonymous · Answer

z<-25 with the line under it?

debbieg · Answer

$z \le -25$ says that z is "less than or equal to" -25, which doesn't make it "at least" -25, does it? It would mean that z is NO BIGGER THAN -25. You want the opposite: z is AT LEAST AS MUCH AS -25....

debbieg · Answer

Remember, "at least -25" means that it could be =-25, or it could be MORE than -25, but it CAN'T BE LESS than -25.

anonymous · Answer

ok so it would be z>-24 with the eaqual line under?

debbieg · Answer

hmmm..... not -24, why would it be -24?

$z \ge -25$  means that z is AT LEAST -25, right?

Do you understand?

anonymous · Answer

yes thank you

debbieg · Answer

OK, good. Now just replace the "z" with an expression for "the product of 5 and a number".

anonymous · Answer

$$5n \ge - 25$$   ???