The amount he can spend for everything else is less than or equal to 1363
The inequality is : [tex]s\leq 1363[/tex]
Solution:
Let "s" represent the brother's money to spend
Your brother has $2000 saved for a vacation
His airplane ticket is $637
Write an expression for the total money spent by adding "s" and the price of plane ticket $ 637
We can frame a inequality as:
[tex]s+637\leq 2000[/tex]
Here we have used "less than or equal to" symbol, because he can spent only up to 2000
Solve the inequality for "s"
[tex]s+637\leq 2000\\\\\text{Add -637 on both sides of inequality }\\\\s+637-637\leq 2000-637\\\\s\leq 1363[/tex]
Thus the amount he can spend for everything else is less than or equal to 1363
