The correct option is D x>6
Given, 5x3+6>16
Step 1: Subtract 6 from both sides of the inequality in order to remove the 6 on the left hand side.
⇒5x3+6−6>16−6⇒5x3>10
Step 2: Now, multiply both sides of the inequality by 3 in order to remove the 3 on the left hand side.
⇒5x3×3>10×3⇒5x>30
Step 3: Now, divide both sides of the inequality by 5 in order to remove the 5 on the left hand side.
⇒5x5>305⇒5×x5>5×65
⇒x>6
Note: Since we are multiplying and dividing by positive number, the direction of the inequality does not change
Hence, solution of the inequality 5x3+6>16 is x>6.