Solve 2a/5-2geqa/4+1

$$\frac { 2 a } { 5 } - 2 \geq \frac { a } { 4 } + 1$$

Solve for a

$$a\geq 20$$

Solution Steps

Multiply both sides of the equation by 20, the least common multiple of 5,4. Since 20 is positive, the inequality direction remains the same.

$$4\times 2a-40\geq 5a+20$$

Multiply 4 and 2 to get 8.

$$8a-40\geq 5a+20$$

Subtract 5a from both sides.

$$8a-40-5a\geq 20$$

Combine 8a and -5a to get 3a.

$$3a-40\geq 20$$

Add 40 to both sides.

$$3a\geq 20+40$$

Add 20 and 40 to get 60.

$$3a\geq 60$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$a\geq \frac{60}{3}$$

Divide 60 by 3 to get 20.

$$a\geq 20$$