Question

aubrey has $20 to spend on party supplies. she buys balloons for $16. the table shows prices for other items at the store. use the inequality ( x + 16 leq 20 ) to find which items aubrey can buy. if ( x ) is equal to 4, ( x + 16 ) will be equal to 20. if ( x ) is less than 4, ( x + 16 ) will be less than 20. graph an inequality to represent all possible values of ( x ).

Explanation:

Step1: Solve the inequality

Given \(x + 16\leq20\), subtract 16 from both sides.
\(x+16 - 16\leq20 - 16\)
\(x\leq4\)

Step2: Graph the inequality

For \(x\leq4\), we use a closed - circle at \(x = 4\) (because \(x\) can be equal to 4, as when \(x = 4\), \(x + 16=20\)) and shade to the left of 4 on the number line.

Answer:

We place a closed - circle at 4 on the number line and shade all the values to the left of 4.