Aprojectile is fired directly upward. the compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4 represents a projectile’s velocity that is less than 10.6 m/s or greater than 20.4 m/s. solve the compound inequality. the solution to the inequality 89 – 9.8t < 10.6 is ? . the solution to the inequality 89 – 9.8t > 20.4 is? . to determine when the projectile hits the ground, solve 89 – 9.8t = 0 for t. rounding to the nearest whole second, t is about ? seconds. the viable solution set is ?

Given compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4.

Let us solve them one by one.

89 – 9.8t < 10.6

Subtracting 89 from both sides, we get

89-89 – 9.8t < 10.6 - 89

-9.8t < -78.4

Dividing both sides by -9.8, we get

t > 8.

Note: Inequality sign get flip on dividing both side by a negative number.

89 – 9.8t > 20.4

Subtracting 89 from both sides, we get

89-89 – 9.8t < 20.4 - 89

-9.8 t < - 68.6.

Dividing both sides by -9.8, we get

t < 7

Note: Inequality sign get flip on dividing both side by a negative number.

When the projectile hits the ground:

89 – 9.8t = 0

Subtracting 89 from both sides, we get

89 - 89 – 9.8t = 0 -89.

-9.8t = -89.

Dividing both sides by 9.8, we get

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !