Question

Solve the following equation. Then place the correct number in the box provided. 7y - 3 ≤ 10y + 9

Answer 1

y is greater than or equal to -4

Answer 2

Answer: The required solution of the given inequality is
`y\geq -4.`

Step-by-step explanation: We are given to solve the following inequality :

`7y-3\leq10y+9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given inequality, we must find the value of the unknown variable p.

We will be using the following property of inequalities :

`a\leq b~~~~~\Rightarrow -a\geq -b.`

From inequality (i), we have

`7y-3\leq10y+9\\\\\Rightarrow 7y-10y\leq9+3\\\\\Rightarrow -3y\leq12\\\\\Rightarrow 3y\geq -12\\\\\Rightarrow y\geq(-12)/(3)\\\\\Rightarrow y\geq -4.`

Thus, the required solution of the given inequality is
`y\geq -4.`