Solve 1/2(8(4)+1)geq3(4)+5/2

$$\frac { 1 } { 2 } ( 8 ( 4 ) + 1 ) \geq 3 ( 4 ) + \frac { 5 } { 2 }$$

Verify

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{1}{2}\left(32+1\right)\geq 3\times 4+\frac{5}{2}$$

Add 32 and 1 to get 33.

$$\frac{1}{2}\times 33\geq 3\times 4+\frac{5}{2}$$

Multiply \frac{1}{2} and 33 to get \frac{33}{2}.

$$\frac{33}{2}\geq 3\times 4+\frac{5}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{33}{2}\geq 12+\frac{5}{2}$$

Convert 12 to fraction \frac{24}{2}.

$$\frac{33}{2}\geq \frac{24}{2}+\frac{5}{2}$$

Since \frac{24}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{33}{2}\geq \frac{24+5}{2}$$

Add 24 and 5 to get 29.

$$\frac{33}{2}\geq \frac{29}{2}$$

Compare \frac{33}{2} and \frac{29}{2}.

$$\text{true}$$