Solve 5-0.3t<2.1+0.5(t+1)

$$5 - 0.3 t < 2.1 + 0.5 ( t + 1 )$$

Solve for t

$$t>3$$

Solution Steps

Use the distributive property to multiply 0.5 by t+1.

$$5-0.3t<2.1+0.5t+0.5$$

Add 2.1 and 0.5 to get 2.6.

$$5-0.3t<2.6+0.5t$$

Subtract 0.5t from both sides.

$$5-0.3t-0.5t<2.6$$

Combine -0.3t and -0.5t to get -0.8t.

$$5-0.8t<2.6$$

Subtract 5 from both sides.

$$-0.8t<2.6-5$$

Subtract 5 from 2.6 to get -2.4.

$$-0.8t<-2.4$$

Divide both sides by -0.8. Since -0.8 is negative, the inequality direction is changed.

$$t>\frac{-2.4}{-0.8}$$

Expand \frac{-2.4}{-0.8} by multiplying both numerator and the denominator by 10.

$$t>\frac{-24}{-8}$$

Divide -24 by -8 to get 3.

$$t>3$$