Find the three highest whole numbers that satisfy 2 (3x+1) ⩽ 1/2 (2x-5).

-1, - 2,-3

Step-by-step explanation:

2 (3x+1) ⩽ 1/2 (2x-5)

Distribute

6x+2 ⩽ x-5/2

Subtract x from each side

6x-x + 2 ⩽ x-x-5/2

5x + 2 ⩽ - 5/2

Subtract 2 from each side

5x+2-2 ⩽ - 5/2 - 2

5x ⩽ - 5/2 - 4/2

5x ⩽ - 9/2

Divide each side by 5

5x/5 ⩽ - 9/2 / 5

x ⩽ - 9/10

The largest whole numbers that satisfy

-1, - 2,-3

-1, - 2 and - 3

Step-by-step explanation:

2 (3x + 1) ⩽ (1/2) (2x - 5)

Open up Parentheses

6x + 2 ⩽ x - (2.5)

Isolate Variable

5x ⩽ - 4.5

x ⩽ -.9

The 3 highest whole numbers ⩽ -.9 are - 1, - 2, and - 3