Question

Is the given number a solution of the inequality? $$3 x-11 \geq 2 ; 4$$

Short answer

No, \(4\) is not a solution to the inequality \(3x - 11 \geq 2\).

Step-by-step solution

Write down the inequality

The inequality is given as \(3x - 11 \geq 2\). The question is to find out if \(x = 4\) is a solution of this inequality. In other words, we need to see if the inequality remains true when \(x\) is substituted with \(4\).

Substitution

Now, replace \(x\) in the inequality with \(4\). So we get \(3(4) - 11 = 12 - 11 = 1\) on the left side of the inequality.

Compare

Next, we compare the two sides of the inequality. Is \(1 \geq 2\)? The answer is no. Therefore, \(4\) is not a solution to the inequality \(3x - 11 \geq 2\).