Question

12 is at most a number decrease by 7 write an inequality to solve.

Thank you

Answer 1

Let x be the number we are looking for.

We know that 12 is at most a number decreased by 7, which can be written as:

x - 7 >= 12

To solve for x, we add 7 to both sides of the inequality:

x - 7 + 7 >= 12 + 7

Simplifying, we get:

x >= 19

Therefore, the solution to the inequality is x >= 19.

Answer 2

The answer is:

19 ≤ w

Work/explanation:

Let w be the number. Now, let's write an inequality to solve for w.

Let's focus on the part that says "at most a number". At most means that the number can't be greater than something, it can only be less than. So the symbol for "at most" is ≤, which also means "less than".

Now, decreased by 7 means we subtract 7 from w.

With all this information, we are ready to write the inequality.

The inequality is:

`\sf{12\leqslant w-7}`

Now, let's solve it for w.

_________________________

Add 7 on each side

`\sf{12+7\leqslant w}`

`\sf{19\leqslant w}`

Hence, the answer is 19 ≤ w.