Question

Variables mathematics

Answer 1

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