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Question

Solve the inequality:
5x3+6>16

A
x>3
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B
x>10
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C
x<4
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D
x>6
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Solution

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+66>1665x3>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>10×35x>30

Step 3: Now, divide both sides of the inequality by 5 in order to remove the 5 on the left hand side.
5x5>3055×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.

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