Question

solve the inequality
$4(x + 3) - 7 \geq x + 3(x + 1)$
a. $x < 5$
b. $x > 3$
c. no solution
d. all real numbers

Explanation:

Step1: Expand both sides

Expand \(4(x + 3)-7\) to get \(4x+12 - 7=4x + 5\). Expand \(x + 3(x + 1)\) to get \(x+3x + 3 = 4x+3\). So the inequality becomes \(4x + 5\geq4x + 3\).

Step2: Subtract \(4x\) from both sides

Subtract \(4x\) from both sides of \(4x + 5\geq4x + 3\), we get \(5\geq3\).

Answer:

C. no solution