Question

Check whether the number is a solution of the equation or the inequality. \(32-5 y>11 ; 3\)

Short answer

Yes, the number 3 is a solution to the inequality \(32 - 5y > 11\)

Step-by-step solution

Identify the inequality and the given number

The inequality given is \(32-5y > 11\) and the given number, which is presumed to be the value of \(y\), is \(3\).

Substitute the number into inequality

Put \(3\) in place of \(y\) in the inequality. This will alter the inequality to: \(32 - 5(3) > 11\).

Simplify and solve the inequality

Now, simplify and solve the inequality. This would translate the inequality to: \(32 - 15 > 11\) which in turn simplifies to \(17 > 11\). This statement is true, which signifies the number 3 is a solution to the inequality \(32 - 5y > 11\).