Question

Which symbol creates a true sentence when x equals 6? 7•6–3x _____ 5(11– x)

a. =
b. >
c.

Answer 1

When x equals 6, the expression 7·6−3x becomes 24, and 5(11−x) becomes 25, so the correct symbol to make the sentence true is (b) < (less than).

Step-by-step explanation:

The question involves evaluating the expressions 7 * 6 - 3x and 5 * (11 - x) for x = 6 and determining which symbol (=, >, or <) creates a true sentence. Substituting x = 6 into both expressions yields 42 - 18 = 24 for the first and 5 * (11 - 6) = 25 for the second. A comparison shows that 24 is less than 25. Therefore, the symbol that makes the sentence true is < (less than). This analysis demonstrates the application of algebraic substitution and comparison to discern the relationship between expressions, reinforcing fundamental principles in mathematical reasoning.

Answer 2

< less than. 7*6= 42 42-3*6= 24 (11-6) = 5*5 =25 24<25