Question

Which expression among the following is the solution of 2(4x+3)≤3(3x+4)?

x≤6

x≥6

x≤−6

x≥−6

Answer 1

Solving
`8x+6\leq9x+12` we get
`\mathbf{x\geq -6}`

Option D is correct information.

Explanation:

We need to solve
`2(4x+3)\leq 3(3x+4)`

Multiply the terms:

`2(4x+3)\leq 3(3x+4)\\8x+6\leq9x+12`

Subtracting 6 from both sides

`8x+6-6\leq9x+12-6\\8x\leq9x+6`

Subtracting 9x from both sides

`8x-9x\leq 9x+6-9x\\-x\leq 6`

Divide both sides by -1 and reversing the inequality

`x\geq -6`

So, solving
`8x+6\leq9x+12` we get
`\mathbf{x\geq -6}`

Option D is correct information.