Solve 3.5x+0.4geq1.2x-1.4

$$3.5 x + 0.4 \geq 1.2 x - 1.4$$

Solve for x

$$x\geq -\frac{18}{23}$$

Solution Steps

Subtract 1.2x from both sides.

$$3.5x+0.4-1.2x\geq -1.4$$

Combine 3.5x and -1.2x to get 2.3x.

$$2.3x+0.4\geq -1.4$$

Subtract 0.4 from both sides.

$$2.3x\geq -1.4-0.4$$

Subtract 0.4 from -1.4 to get -1.8.

$$2.3x\geq -1.8$$

Divide both sides by 2.3. Since 2.3 is positive, the inequality direction remains the same.

$$x\geq \frac{-1.8}{2.3}$$

Expand \frac{-1.8}{2.3} by multiplying both numerator and the denominator by 10.

$$x\geq \frac{-18}{23}$$

Fraction \frac{-18}{23} can be rewritten as -\frac{18}{23} by extracting the negative sign.

$$x\geq -\frac{18}{23}$$