Solve the inequality for x.

–3x + 6 > 48

x < -14

Step-by-step explanation:

To solve the inequality, we have to get x by itself. Perform the opposite of what is being done to the inequality. Keep in mind, everything done to one side, has to be done to the other.

–3x + 6 > 48

6 is being added onto -3x. The opposite of addition is subtraction. Subtract 6 from both sides.

–3x + 6 -6> 48-6

–3x > 48-6

–3x > 42

x is being multiplied by -3. The opposite of multiplication is division. Divide both sides by -3.

-3x/-3> 42/-3

x > 42/-3

Since we divided by a negative, we have to flip the inequality sign.

x> 42/-3-->x<42/-3

x<42/-3

x < -14

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.