Solve 0.251/2x+1.3x+1/20.15*xgeq18

$$0.25 \frac{ 1 }{ 2 } x+1.3x+ \frac{ 1 }{ 2 } 0.15 \times x \geq 18$$

Solve for x

$$x\geq \frac{144}{17}$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$\left(0.25\times 2+1\right)x+2.6x+1\times 0.15x\geq 36$$

Multiply 0.25 and 2 to get 0.5.

$$\left(0.5+1\right)x+2.6x+1\times 0.15x\geq 36$$

Add 0.5 and 1 to get 1.5.

$$1.5x+2.6x+1\times 0.15x\geq 36$$

Combine 1.5x and 2.6x to get 4.1x.

$$4.1x+1\times 0.15x\geq 36$$

Multiply 1 and 0.15 to get 0.15.

$$4.1x+0.15x\geq 36$$

Combine 4.1x and 0.15x to get 4.25x.

$$4.25x\geq 36$$

Divide both sides by 4.25. Since 4.25 is positive, the inequality direction remains the same.

$$x\geq \frac{36}{4.25}$$

Expand \frac{36}{4.25} by multiplying both numerator and the denominator by 100.

$$x\geq \frac{3600}{425}$$

Reduce the fraction \frac{3600}{425} to lowest terms by extracting and canceling out 25.

$$x\geq \frac{144}{17}$$