Find the possible values of r in the inequality 5 > r-3?

Question

A. r = 2
B. r < 2
C. r = 8
D. r < 8

Answer 1

5 > r - 3

add 3 to both sides yields

8 > r which is the same as r < 8

Answer 2

Absolute equations you in basic terms would desire to take the advantageous and detrimental values of it so account for the two equations. The inequalities themselves artwork only like equalities... a million) |3r -12| > 0 3r-12 > 0 3r > 12 r > 4 -3r+12 > 0 12 > 3r 4 > r So r>4, r<4 (r =/= 4 actual) 2) 6+5 | 2r-3| >= 4 6+5(2r-3) >= 4 6+10r-15 >= 4 10r >= 13 r >= a million.3 6+5(-2r+3) >= 4 6-10r+15 >= 4 17 >= 10r r <= a million.7 So r >= a million.3, r <= a million.7 (between a million.3 and a million.7, inclusive) 3) 2 |2t -5/3| - 3 >= 4 2(2t-5/3)-3 >= 4 4t - 10/3 - 3 >= 4 4t >= 7 + 10/3 t >= 31/12 2(-2t+5/3)-3 >= 4 -4t + 10/3 - 3 >= 4 -13/3 >= 4t t <= -13/12

Answer 3

solve it like you would solve any equation...


5 > r - 3
// add 3 to both sides

5+3 > r - 3 + 3
8 > r
which is the same as:
r < 8