Write an inequality for the situation. Use x as your variable. Mrs. Treble charges her music students $25 per lesson plus a recital fee of $30. How many lessons can Melinda take if she wants to pay less than $155?

Inequality: 25x + 30 < 155

Step-by-step explanation:

25x is the cost per lesson. 30 is the recital fee. 155 is the total cost. We used the < sign because she has to pay LESS than $155.

Solve...

25x + 30 < 155

Subtract 30 on both sides...

25x < 125

Divide 25 on both sides...

x < 5

THATS NOT YOUR ANSWER YET Always make sure to plug in the answer you got BEFORE inputting it.

Plug in 5 for x...

25 ( 5 ) + 30 < 155

125 + 30 < 155

155 < 155

You know that she wants to spend LESS than $155, when she takes 5 lessons, as shown above, she spends exactly $155, your answer would be 4 because she spends less than $155 when taking 4 classes, but exactly $155 when taking five.

Really hope this helps! :)

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0