Question

24. Dante has 60 baseball cards. This is at least six more than three times
as many cards as Anna. Write and solve an inequality to represent the situation. PLEASE WRITE AN INEQUALITY TO REPRESENT THE SITUATION USING x FOR YOUR VARIABLE
In picture its question #24 for 6&7 thanks in advance

Answer 1

Answer:

$x \geqslant 18$

Step-by-step explanation:

From the question, the number of baseball cards Dante has is 60.

Since that of Anna is unknown, we let it be x.

We have to take not of the following expression.

''at least'' mathematically means greater than or equal to

''three times a number'' means 3x provided the number is denoted by x

''six more than a number'' means x+6

Hence we can write the following as the inequality for the problem

$3x + 6 \geqslant60$

We subtract 6 from both sides

$\implies3x + 6 - 6 \geqslant 60 - 6$

$\implies3x\geqslant54$we divide through by 3

$\implies \frac{3x}{3} \geqslant \frac{54}{3}$

$\implies x\geqslant18$

This means that Anna has at least 18 baseball cards