Question

3n + 7 < 4 on a number line

Answer 1

-2x + 4 ≥ 0 on a number line

Answer 2

To represent the inequality 3n + 7 < 4 on a number line, we need to first isolate the variable n:

3n + 7 < 4
3n < -3
n < -1

This inequality tells us that n is less than -1.

On the number line, we would draw an open circle at -1 (since n is not equal to -1) and shade to the left to represent all numbers less than -1.

Therefore, the solution to the inequality 3n + 7 < 4 on a number line is n < -1.

Answer 3

To represent the inequality -2x + 4 ≥ 0 on a number line, we need to first isolate the variable x:

-2x + 4 ≥ 0
-2x ≥ -4
x ≤ 2

This inequality tells us that x is less than or equal to 2.

On the number line, we would draw a closed circle at 2 (since x is equal to 2) and shade to the left to represent all numbers less than or equal to 2.

Therefore, the solution to the inequality -2x + 4 ≥ 0 on a number line is x ≤ 2.