Questions: Solve the inequality. 4 y-9 ≥ 4(y+3) y ≥ 21 y ≥ 12 no solution all real numbers

Solution Steps

Start by distributing the 4 on the right side of the inequality:

\[ 4y - 9 \geq 4(y + 3) \implies 4y - 9 \geq 4y + 12 \]

Subtract \(4y\) from both sides to eliminate the \(y\) terms:

\[ 4y - 4y - 9 \geq 4y - 4y + 12 \implies -9 \geq 12 \]

The inequality \(-9 \geq 12\) is false. This means there is no value of \(y\) that can satisfy the inequality.

Final Answer