Question

HELP!!! HELP!!! WILL GIVE BRAINLIEST

Answer 1

Sets are greater than 6

Answer 2

Answer:

(a) Two x plus eight is greater than negative four

(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded

Step-by-step explanation:

(a)

Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:

Two x plus eight is greater than negative four

(b)

We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.

Subtract 8 from both sides:

2x + 8 - 8 > -4 - 8

2x > -12

Divide by 2:

x > -12/2

x > -6

So, the solution set is all numbers greater than -6.

Drawn on a number line, we would first place an open circle at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.