Which expression is equivalent to 12x+(−7)−214x−(−2)?

- 212 x - 5 .

Step-by-step explanation:

Given  : 12x + (−7) − 214x − ( −2).

To find : Which expression is equivalent.

Solution : We have given

12x + (−7) − 214x − ( −2).

We know that positive and negative is negative .

12x - 7 - 214x + 2 .

On combine like terms .

12 x - 214 x - 7 + 2 .

- 212 x - 5 .

Therefore, - 212 x - 5 .

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true