Question

CHECKING SOLUTIONS OF INEQUALTTIES Check whether the given number is a solution of the inequality. $$\frac{c+5}{3} \leq 4 ; 3$$

Short answer

Yes, the given number 3 is indeed a solution to the inequality \(\frac{c+5}{3} \leq 4\).

Step-by-step solution

Substitute the Value

Replace variable 'c' in the inequality equation \(\frac{c+5}{3} \leq 4\) with the given number value which in this case is 3. The equation now becomes: \(\frac{3+5}{3} \leq 4\)

Simplify the Equation

Perform the sum operation in the numerator of the fraction. The equation will become \(\frac{8}{3} \leq 4\).

Check the Inequality

\(\frac{8}{3}\) when converted into decimal gives approximately 2.67. Hence, 2.67 is less than 4. So, the inequality \(\frac{8}{3} \leq 4\) holds true.