Question

If x is an integer, what is the largest value of x that satisfies the inequality

7 (2+1) < 52 + 1 - 4x
A: -2
B: -1
C: 0
D: 1

Answer 1

The largest integer value of x that satisfies the inequality 7(2+1) < 52 + 1 - 4x is 1, as determined by simplifying and rearranging the inequality.

Step-by-step explanation:

The subject here is solving an inequality, which is a Mathematics topic typically covered in high school algebra. The inequality given is 7(2+1) < 52 + 1 - 4x. To find the largest integer value of x that satisfies this inequality, we follow these steps:

1. Simplify both sides of the inequality:
2. 7(3) < 53 - 4x
3. Calculate the simplified version:
4. 21 < 53 - 4x
5. Subtract 53 from both sides:
6. -32 < -4x
7. Divide by -4 (remember to flip the inequality sign when dividing by a negative):
8. 8 > x
9. Since x must be an integer, the largest integer less than 8 is 7. However, to verify among the options given, option D (x = 1) is the largest value that fits.