Find the solution of the inequality

−4x+2≤−10
question 3 options:

x≤2

x≥2

x≤3

x≥3

option D

x≥3

Step-by-step explanation:

Given in the question an inequality

−4x + 2 ≤ −10

rearrange x terms to the left and constant to the right

-4x  ≤ −10 - 2

-4x  ≤ -12

cancel - on both sides, due to sign change inequality will also be change

 4x ≥ 12

  x ≥ 12/4

  x ≥ 3

So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.