Question

1.5 + 2.1y < 1.1y + 4.5

Answer 1

y < 3

Explanation:

Steps

1.5+2.1y<1.1y+4.5

Multiply both sides by 10

1.5 * 10 + 2.1y * 10 < 1.1y * 10 + 4.5 * 10

Refine

15 + 21y < 11y + 45

Subtract 15 from both sides

15 + 21y - 15 < 11y + 45 - 15

Simplify

21y < 11y + 30

Subtract 11y from both sides

21y - 11y < 11y + 30 - 11y

Simplify

10y < 30

Divide both sides by 10

10y / 10 < 30 / 10

Simplify

y < 3

Answer 2

Given an inequalities below:

`1.5+2.1y<1.1y+4.5`

The inequalities can be solved by collecting like terms and evalauating the unknown

`1.5+2.1y<1.1y+4.5`
`\begin{gathered} 1.5+2.1y<1.1y+4.5 \\ \text{collect like terms} \\ 2.1y-1.1y<4.5-1.5 \\ 1y<3 \\ \text{divide both side by 1} \\ y<3 \end{gathered}`

Hence the correct answer is

`y<3`