Seven less than the product of twice a number is greater than 5 more an the same number. Which integer satisfies this inequality?

Question

Abigail Palmer · Accepted Answer

Step 1Translating into an algebraic form (using n as the number):Seven less than the product of twice a number is greater than 5 more than the same number.      →   Seven less than             (      2      ×      n      )       is greater than       5    +    n        →          (      2      n      )        -    7   is greater than       5    +    n        →    2    n    -    7    &amp;gt;    5    +    n  Subtracting n from both sides then adding 7 to both sides(note, you can add or subtract any amount to both sides of an inequality while maintaining the inequality) gives:                              XXX                      n    &amp;gt;    12  So any integer number 13 or greater would satisfy the given requirement.

Seven less than the product of twice a number is

Answered question

Answer & Explanation

New Questions in Pre-Algebra