Solve -1+0.3tleq0.7t-0.2

$$- 1 + 0.3 t \leq 0.7 t - 0.2$$

Solve for t

$$t\geq -2$$

Solution Steps

Subtract 0.7t from both sides.

$$-1+0.3t-0.7t\leq -0.2$$

Combine 0.3t and -0.7t to get -0.4t.

$$-1-0.4t\leq -0.2$$

Add 1 to both sides.

$$-0.4t\leq -0.2+1$$

Add -0.2 and 1 to get 0.8.

$$-0.4t\leq 0.8$$

Divide both sides by -0.4. Since -0.4 is negative, the inequality direction is changed.

$$t\geq \frac{0.8}{-0.4}$$

Expand \frac{0.8}{-0.4} by multiplying both numerator and the denominator by 10.

$$t\geq \frac{8}{-4}$$

Divide 8 by -4 to get -2.

$$t\geq -2$$