Sove this problem by writing and solving an inequality. Seven more than 6 times a number is greater than 55. WHat are the possible values of the number? Show your work
Let's assume the number is x.
We are given that "seven more than 6 times a number" (which is 6x + 7) is greater than 55. So we can write the inequality as:
6x + 7 > 55
To solve for x, we will subtract 7 from both sides:
6x + 7 - 7 > 55 - 7
This simplifies to:
6x > 48
Now, to isolate x, we will divide both sides of the inequality by 6:
(6x)/6 > 48/6
This simplifies to:
x > 8
So the values of x that satisfy the inequality are all numbers greater than 8.