Fill in the blank with an appropriate inequality sign.

Question

(A). If x < 6, then x-3 is ( greater than, greater than or equal to, less than, or less than or equal) to 3 ?

(B). If x less than or equal to 6, then 3x is ( greater than, greater than or equal to, less than, or less than or equal to) 8 ?

(C). If x is greater than or equal to 5, then -3x is (greater than, greater than or equal to, less than, less than or equal to) -15 ?

(D). If x < -5, then -x is (greater than, greater than or equal to, less than, or less than or equal to) 5 ?

Answer 1

if x<6 then x-3 <6-3 = 3, so x-3<3

if x<=6 then 3x <= 18

if x>=5 then -3x <= -15 <--- multiply or divide by negative, the SIGNS SWITCH

if x<-5 then -x>5 <--- multiplies or divide by negative, the SIGNS SWITCH