Which inequality is true for all real numbers? Check all that apply. O a-b ac > bc
If a 2 b, then a + c2b+c
If c > 0, then a-c < a- d
If a

c., d.

Step-by-step explanation:

a. Let a = 5; let b = -2

a - b < a + b

5 - (-2) < 5 + (-2)

5 + 2 < 5 - 2

7 < 3 this is a false statement, so choice a. is not true for all real numbers.

b. ac >= bc

Let a = 5; let b = 2; let c = -3

5(-3) >= 2(-3)

-15 >= -6 this is a false statement, so choice b. is not true for all real numbers.

c. If a >= b, then a + c >= b + c

You are adding the same amount, c, to both sides of a true inequality, so the result is still a rue inequality.

True

d. If c > d, then a - c < a - d

Start with c > d.

Multiply both sides by -1. Remember to flip the inequality sign.

-c < -d

Now add a to both sides.

a - c < a - d

True

e. If a < b, then a < b + c

Let a = 5, b = 7, and c = -5

If 5 < 7, then 5 < 7 + (-5).

If 5 < 7, then 5 < 2. This is a false statement.

c. and d. are true.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)