Which statement is true about the parentheses in this expression?

(4 × 8 − 12 ÷ 4) + 2

A) The parentheses indicate that 4 x 8 − 12 ÷ 4 should be evaluated before adding 2.

B) The parentheses indicate that 12 ÷ 4 should be evaluated before multiplying 4 x 8.

C) The parentheses indicate that 8 − 12 should be evaluated first.

D) The parentheses indicate that 4 + 2 should be evaluated first.

A) The parentheses indicate that 4 x 8 − 12 ÷ 4 should be evaluated before adding 2.

Step-by-step explanation:

Given: (4 × 8 − 12 ÷ 4) + 2

To choose: the correct option

Solution:

According to BODMAS,

B: brackets (( ), { }, [ ])

O: of

D: Division

M: Multiplication

A: Addition

S: Subtraction

First solve the bracket term then do further calculations.

In (4 × 8 − 12 ÷ 4) + 2, the parentheses indicate that 4 x 8 − 12 ÷ 4 should be evaluated before adding 2

The correct answer is

A) The parentheses indicate that 4 x 8 − 12 ÷ 4 should be evaluated before adding 2.

Step-by-step explanation:

Parenthesis i.e. () are used to indicate the order in which the operations (e.g. addition, multiplication etc) in algebraic expression should be evaluated.

The mathematical algebraic expressions are solved and simplified according to the BODMAS rule. BODMAS means to carry out the following in sequence, one after the other:

B Bracket - () or {}

O order or power - etc

D Division - 88÷11

M Multiplication - 107

A Addition - 99+10

S Subtraction -  77-9

So, According to BODMAS rule,  the bracket/parenthesis i.e. (4 × 8 − 12 ÷ 4) is to be solved before adding 2.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be