Question

Is the given number a solution of the inequality? $$4 x-1>10 ; 3$$

Short answer

Yes, '3' is a solution to the inequality \(4 x - 1 > 10\).

Step-by-step solution

Substitute the Given Number

To check if '3' is a solution, replace 'x' in the inequality \(4x - 1 > 10\) with '3'. This results in the inequality being \(4*(3) - 1 > 10\)

Simplify the Left Hand Side of the Inequality

Calculate \(4*(3) - 1\) which equals to \(12 - 1 = 11\). So the inequality is now \(11 > 10\)

Assess the Resulting Inequality

Now, evaluate if 11 is indeed greater than 10. Since it indeed is, that means '3' is indeed a solution present for the inequality \(4 x - 1 > 10\)