Answer:
We need to flip the symbol at the end of the question.
answer: x<= 6.5
Step-by-step explanation:
Given inequality: 2(x-4)+5<=4(x-4)
Distribute: 2x-8+5<=4x-16
Undo a constant term from left side: 2x-3<= 4x-16
Combining the like terms: 2x-4x<=-16+3
Undo the coefficient term from left: -2x<=-13
Undo the variable term: x<=(13/2)=6.5
Now checking if this is write: Lets take x=6<6.5
Put x=6 in given inequality:
2(6-4)+5<=4(6-4)
2(2)+5<=4(2)
4+5<=8
9<=8 (which is not possible)
so we need to flip the inequality
2(x-4)+5>=4(x-4)
9>8
