Studdy AI Logo
Math

QuestionWhich inequality is true: A. 34<59\frac{3}{4}<\frac{5}{9}, B. 1720>45\frac{17}{20}>\frac{4}{5}, C. 56<1114\frac{5}{6}<\frac{11}{14}, D. 712>1625\frac{7}{12}>\frac{16}{25}?

Studdy Solution

STEP 1

Assumptions1. We are given four inequalities and we need to find which one is true. . We assume all the numbers are real numbers.

STEP 2

We will solve each inequality one by one.
First, let's solve inequality A.
4<59\frac{}{4}<\frac{5}{9}

STEP 3

To compare fractions, we can cross-multiply.
3×9<×53 \times9 < \times5

STEP 4

Calculate the multiplication on both sides.
27<2027 <20

STEP 5

The inequality 27<2027 <20 is not true. So, inequality A is not true.
Next, let's solve inequality B.
5<1114\frac{5}{}<\frac{11}{14}

STEP 6

Again, we cross-multiply.
5×14<6×115 \times14 <6 \times11

STEP 7

Calculate the multiplication on both sides.
70<6670 <66

STEP 8

The inequality 70<6670 <66 is not true. So, inequality B is not true.
Next, let's solve inequality C.
1720>45\frac{17}{20}>\frac{4}{5}

STEP 9

We cross-multiply.
17×5>20×417 \times5 >20 \times4

STEP 10

Calculate the multiplication on both sides.
85>8085 >80

STEP 11

The inequality 85>8085 >80 is true. So, inequality C is true.
Finally, let's solve inequality D.
7>1625\frac{7}{}>\frac{16}{25}

STEP 12

We cross-multiply.
7×25>12×167 \times25 >12 \times16

STEP 13

Calculate the multiplication on both sides.
175>192175 >192

STEP 14

The inequality 175>192175 >192 is not true. So, inequality D is not true.
Therefore, the only true inequality among the given options is C. 1720>4\frac{17}{20}>\frac{4}{}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord