Two consecutive numbers with a sum of 173. find the intergers

Let the lesser number be "x", and the greater number be "x + 1".The sum of these two numbers "x" & "x + 1" is equal to 173.

Set the equation:

(x) + (x + 1) = 173

Simplify. Combine like terms

x + x + 1 = 173

(x + x) + 1 = 173

2x  + 1 = 173

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 1 from both sides

2x + 1 (-1) = 173 (-1)

2x = 173 - 1

2x = 172

Next, divide 2 from both sides

(2x)/2 = (172)/2

x = 172/2

x = 86

The first integer is 86. Find the next number. Plug in 86 for x in "x + 1"

x + 1 =

(86) + 1 = 87

The two integers are 86 & 87.

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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