Question

An inequality with a solution of -4:

[ 2x + 7 < -1 ]
After solving, the solution is ( x < -4 ).
Graphically represented as a line on a number line with an open circle at -4 extending to the left.

Answer 1

The inequality 2x + 7 < -1 is solved by subtracting 7 from both sides and then dividing by 2, resulting in x < -4. This is graphically represented as a line on a number line with an open circle at -4 extending to the left.

Step-by-step explanation:

The given inequality is 2x + 7 < -1. To solve this inequality, we need to isolate the variable x. We can start by subtracting 7 from both sides of the inequality: 2x + 7 - 7 < -1 - 7, which simplifies to 2x < -8. Next, we divide both sides of the inequality by 2 to solve for x: 2x/2 < -8/2, which gives us x < -4. So, the solution to the inequality is x < -4.

Graphically, this solution can be represented as a line on a number line with an open circle at -4, since x is less than -4. The line extends to the left, showing that x can be any value less than -4.