Question

1. which of the following is not a solution of $6x - 5 < 2x + 11$?

a) 3
b) 6
c) 1
d) -3

Explanation:

Step1: Isolate x terms

$6x - 2x < 11 + 5$

Step2: Simplify both sides

$4x < 16$

Step3: Solve for x

$x < \frac{16}{4}$
$x < 4$

Step4: Test each option

• a) $3 < 4$: valid solution
• b) $6 < 4$: false, not a solution
• c) $1 < 4$: valid solution
• d) $-3 < 4$: valid solution

Answer:

b) 6