Math / Algebra

QuestionAlex needs to represent this statement as an inequality. Half of a number is more than one and one-third. Drag and drop a symbol to correctly complete the inequality.

Studdy Solution

STEP 1

1. Let the unknown number be represented by a variable, say $x$ .
2. "Half of a number" translates to the expression $\frac{x}{2}$ .
3. "More than" indicates a greater than relationship.
4. "One and one-third" is a mixed number which can be converted to an improper fraction.

STEP 2

1. Translate the verbal statement into a mathematical expression.
2. Convert the mixed number into an improper fraction.
3. Formulate the inequality using the correct symbols.

STEP 3

Translate "Half of a number" into the expression $\frac{x}{2}$ .

STEP 4

Convert "one and one-third" into an improper fraction: $1 \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}$

STEP 5

Formulate the inequality: Since "half of a number is more than one and one-third," we write: $\frac{x}{2} > \frac{4}{3}$
The inequality representing the statement is:
$\frac{x}{2} > \frac{4}{3}$

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QuestionAlex needs to represent this statement as an inequality. Half of a number is more than one and one-third. Drag and drop a symbol to correctly complete the inequality.

Studdy Solution

STEP 1

1. Let the unknown number be represented by a variable, say $x$ .
2. "Half of a number" translates to the expression $\frac{x}{2}$ .
3. "More than" indicates a greater than relationship.
4. "One and one-third" is a mixed number which can be converted to an improper fraction.

STEP 2

1. Translate the verbal statement into a mathematical expression.
2. Convert the mixed number into an improper fraction.
3. Formulate the inequality using the correct symbols.

STEP 3

Translate "Half of a number" into the expression $\frac{x}{2}$ .

STEP 4

Convert "one and one-third" into an improper fraction: $1 \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}$

STEP 5

Formulate the inequality: Since "half of a number is more than one and one-third," we write: $\frac{x}{2} > \frac{4}{3}$
The inequality representing the statement is:
$\frac{x}{2} > \frac{4}{3}$

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QuestionAlex needs to represent this statement as an inequality. Half of a number is more than one and one-third. Drag and drop a symbol to correctly complete the inequality.

Studdy Solution

STEP 1

1. Let the unknown number be represented by a variable, say x x x.2. "Half of a number" translates to the expression x2 \frac{x}{2} 2x​.3. "More than" indicates a greater than relationship.4. "One and one-third" is a mixed number which can be converted to an improper fraction.

STEP 2

1. Translate the verbal statement into a mathematical expression.2. Convert the mixed number into an improper fraction.3. Formulate the inequality using the correct symbols.

STEP 3

Translate "Half of a number" into the expression x2 \frac{x}{2} 2x​.

STEP 4

Convert "one and one-third" into an improper fraction: 113=33+13=43 1 \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3} 131​=33​+31​=34​

STEP 5

Formulate the inequality: Since "half of a number is more than one and one-third," we write: x2>43 \frac{x}{2} > \frac{4}{3} 2x​>34​ The inequality representing the statement is:x2>43 \frac{x}{2} > \frac{4}{3} 2x​>34​

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

1. Let the unknown number be represented by a variable, say $x$ .
2. "Half of a number" translates to the expression $\frac{x}{2}$ .
3. "More than" indicates a greater than relationship.
4. "One and one-third" is a mixed number which can be converted to an improper fraction.

1. Translate the verbal statement into a mathematical expression.
2. Convert the mixed number into an improper fraction.
3. Formulate the inequality using the correct symbols.

Translate "Half of a number" into the expression $\frac{x}{2}$ .

Convert "one and one-third" into an improper fraction: $1 \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3}$

Formulate the inequality: Since "half of a number is more than one and one-third," we write: $\frac{x}{2} > \frac{4}{3}$
The inequality representing the statement is:
$\frac{x}{2} > \frac{4}{3}$