Question

Check whether the given number is a solution of the inequality. $$ 7 y+6 \geq 10 ; 3 $$

Short answer

Yes, the number 3 is a solution of the inequality \(7y + 6 \geq 10\).

Step-by-step solution

Understand the inequality

The given inequality is \(7y + 6 \geq 10\). Need to test whether 3 satisfies this inequality or not.

Substitute the given number

Substitute 3 for y in the inequality: \(7 * 3 + 6 \geq 10\) which simplifies to \(21 + 6 \geq 10\).

Simplify and compare

Combine like terms to simplify: \(27 \geq 10\). Now, compare the two sides of the inequality. Since 27 is greater than 10, the inequality holds true.