5
QuizMultiple Choice

Inequalities — Quiz

Question 5 • Mathematics III

Which inequality has no solution?

Answer
A
x minus 9 is less than 3 times open paren x minus 3 close paren
B
3 plus 4 x is less than or equal to 2 times open paren 1 plus 2 x close paren
C
6 times open paren x plus 2 close paren is greater than x minus 3
D
negative 2 times open paren x plus 6 close paren is less than x minus 20

Explanation

For choice B, distribute the 2: 3 + 4x ≤ 2 + 4x. Subtract 4x from both sides to get 3 ≤ 2, which is false for every value of x. Therefore, “3 plus 4x is less than or equal to 2 times (1 plus 2x)” has no solution.

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