Question

Given: 5x + 3 > 4x + 7.
Choose the graph of the solution set.

Answer 1

The first one

Explanation:

We simplify this inequality to x>4. This means it is moving past the four to the right with an open dot

Answer 2

`\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}`

Explanation:

For the number line refer to the attachment :

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

`\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}`

This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .

Hence the first graph of the solution set represents the given linear inequality.