Question

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




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Answer 1

-1, -2 and -3

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

Answer 2

-1, -2 ,-3

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