Question

Which of the given sets of values of x satisfies the following statement?

"Seven minus two times a number (x) is less than three times the number (x) added to thirty two."​

Answer 1

Final Answer:

The correct set of values of x that satisfies the statement "Seven minus two times a number (x) is less than three times the number (x) added to thirty-two"​ lies in the interval  $\infty > x > -39\;\;or\;\;-39 < x < \infty$.

Correct Question:

Write the correct sets of values of x that satisfy the following statement.

"Seven minus two times a number (x) is less than three times the number (x) added to thirty-two."​

Given:

The statement is "Seven minus two times a number (x) is less than three times the number (x) added to thirty-two."​

To Find:

The correct sets of values of x that satisfy the following statement, are to be written.

"Seven minus two times a number (x) is less than three times the number (x) added to thirty-two."​

Explanation:

The mathematical statement can be expressed into the corresponding algebraic expression or equation or inequality, as the situation describes.

Step 1 of 5

The statement "Seven minus two times a number (x)" is

$=2\times x-7\\=2x-7$

Step 2 of 5

The statement " three times the number (x) added to thirty-two" is

$=3\times x+32\\=3x+32$

Step 3 of 5

The statement "Seven minus two times a number (x) is less than three times the number (x) added to thirty-two" is expressed in the following way.

$2x-7 < 3x+32$

Step 4 of 5

Solve this derived inequality.

$2x-7 < 3x+32\\-7-32 < 3x-2x\\-39 < x\\x > -39$

Step 5 of 5

The correct sets of values of x that satisfy the referred statement lie within the interval $\infty > x > -39\;\;or\;\;-39 < x < \infty$.

Therefore, the required correct sets of values of x that satisfy the statement "Seven minus two times a number (x) is less than three times the number (x) added to thirty-two"​ are those lying in the interval  $\infty > x > -39\;\;or\;\;-39 < x < \infty$.

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