Question

solve for d.
3d - 7 ≥ -11d + 7(d + 8)
write your answer with d first, followed by an inequality symbol.

Explanation:

Step1: Expand the right - hand side

$3d - 7\geq - 11d+7d + 56$

Step2: Combine like terms on the right - hand side

$3d - 7\geq(-11d + 7d)+56$
$3d - 7\geq - 4d+56$

Step3: Add 4d to both sides

$3d+4d - 7\geq - 4d+4d+56$
$7d - 7\geq56$

Step4: Add 7 to both sides

$7d-7 + 7\geq56 + 7$
$7d\geq63$

Step5: Divide both sides by 7

$\frac{7d}{7}\geq\frac{63}{7}$
$d\geq9$

Answer:

$d\geq9$