Question

7x/2-5<9 graph the solution

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x < 4}`

Explanation:

We want to solve the following inequation and graph the solution:

`\sf (7x)/(2) -5 < 9`

▪ Add 5 to both sides:

`\sf (7x)/(2) -5+5 < 9+5`

Simplify:

`\sf (7x)/(2) < 14`

▪ Multiply both sides by 2:

`\sf (7x)/(2) * 2 < 14 * 2`

Simplify:

`\sf 7x < 28`

▪ Divide both sides by 7:

`\sf (7x)/(7) < (28 )/(7)`

Simplify:

`\boxed{\sf x < 4}`

The solution is all values greater than 4.

The graph solution is in attachment.

Conclusion:

The solution of the inequation 7x/2 - 5 < 9 is all values greater than 4.