Question

Aimee and Desmond are going to a play this evening,Desmond wants to have at least $50 in his wallet. Hecurrently has $5. Write and solve an inequality to findhow much more cash Desmond should put in his wallet.

Answer 1

Let x be the cash Desmond is going to need, since he already has $5, the total amount he will need is:

`x+5`

and he wants this to be at least $50, hence we have the inequality:

`x+5\ge50`

Let's solve it:

`\begin{gathered} x+5\ge50 \\ x\ge50-5 \\ x\ge45 \end{gathered}`

Therefore he at least has to put $45 dollars more in his wallet, that is:

`x\ge45`

The solution in interval form is:

`\lbrack45,\infty)`