Question

Solve the compound inequality and choose the correct answer below.

-2x+5<7 or 5x-4>6
what does the numberline look like?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the compound inequality -2x + 5 < 7 or 5x - 4 > 6, we can solve each inequality separately and then combine the solutions.

For the first inequality:
-2x + 5 < 7
Subtract 5 from both sides:
-2x < 2
Divide by -2 (since dividing by a negative number flips the inequality sign):
x > -1

For the second inequality:
5x - 4 > 6
Add 4 to both sides:
5x > 10
Divide by 5 to solve for x:
x > 2

Combining the solutions, the solution to the compound inequality is x > 2.

On the number line, the solution is represented by an open circle at 2 (since x cannot equal 2 in this inequality) and an arrow extending to the right.