Solve 1\4x−3\4>5 1/4 .(1 point)

Question

Responses

x>18
x greater than 18

x>2134
x greater than 21 ​Start Fraction 3 over 4 end fraction

x>112
x greater than ​1 Start Fraction 1 over 2 end fraction

x>24

Answer 1

To solve the inequality, we can multiply both sides of the inequality by the common denominator, 4, to get rid of the fractions:

1/4x - 3/4 > 5 1/4
4(1/4x - 3/4) > 4(5 1/4)
1x - 3 > 21

Simplifying further,

x - 3 > 21

To isolate x, we can add 3 to both sides:

x > 24

So the solution to the inequality is x > 24. Therefore, the correct response is:

x > 24

Answer 2

Recheck

Answer 3

Apologies for the earlier mistake. Let's solve the inequality correctly:

1/4x - 3/4 > 5 1/4

To get rid of the fractions, we can multiply both sides of the inequality by the common denominator, 4:

4 * (1/4x - 3/4) > 4 * (5 1/4)
1x - 3 > 21

Now, let's isolate x by adding 3 to both sides:

x - 3 + 3 > 21 + 3
x > 24

So the correct solution to the inequality is x > 24.

Answer 4

are you sure

Answer 5

Apologies for the confusion. Let's recheck the solution:

1/4x - 3/4 > 5 1/4

To eliminate the fractions, let's convert 5 1/4 to an improper fraction:
5 1/4 = 21/4

Now we have:
1/4x - 3/4 > 21/4

To clear the fractions, let's multiply both sides by the common denominator, 4:

4 * (1/4x - 3/4) > 4 * (21/4)
x - 3 > 21

Next, let's isolate x by adding 3 to both sides:

x - 3 + 3 > 21 + 3
x > 24

So the correct solution to the inequality is x > 24. I apologize for the incorrect response earlier.