Which statement about solving inequalities is true? adding the same value to both sides of an inequality does not change the solution set. subtracting the same value from both sides of an inequality changes the solution set. when dividing both sides of an inequality by the same positive value, it is necessary to reverse the inequality sign. when multiplying both sides of an inequality by the same negative value, it is not necessary to reverse the inequality sign.

Adding the same value to both sides of an inequality does not change the solution set.

Step-by-step explanation:

The equation is still balanced if you add the same number to both sides.

Adding the same value to both sides of an inequality does not change the solution set.

Step-by-step explanation:

When we add the same value to or subtract the same value from both sides of an inequality, then the inequality remains same or true.

Similarly, when we multiply or divide both sides of an inequality by the same positive number, then the inequality is still same.

But when we multiply or divide both sides of an inequality by the same negative number, then we should flip the inequality sign around.

Like say if a>b, and we multiply through by -5, then -5a<-5b.

Hence, the correct answer will be:

Adding the same value to both sides of an inequality does not change the solution set.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)