Question

Is the given number a solution of the inequality? $$x+3>5 ; 7$$

Short answer

Yes, 7 is a solution to the inequality \(x+3 > 5\).

Step-by-step solution

Identify the Given Values

The inequality given is \(x+3 > 5\). The number provided to check whether it's a solution to the inequality or not is 7

Substitute the Given Number

Substitute number 7 into the inequality in place of x. The substituted inequality would look like this: \(7+3 > 5\)

Evaluate and Compare

Evaluate the substituted inequality to check if it still holds. \(7+3\) equals 10, so the inequality becomes \(10 > 5\). Since 10 is greater than 5, it is true.