Which graph represents the solution set of this inequality? -2x + 7 < 23−2x+7< 23

The graph and the number line in the attached figure

Step-by-step explanation:

we have

Solve for x

subtract 7 both sides

Divide by -2 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

The solution is the interval (-8,∞)

All real numbers greater than -8

In a number line the solution is the shaded area at right of x=-8 (open circle)

The graph and the number line in the attached figure

Step-by-step explanation:

Find the graph attached below

Given the inequality

-2x + 7 < 23−2x+7<23

Simplifying the inequality

-2x+7-7<23-2x+7-7<23-7

-2x<23-2x<16

Subtracting 23 from all sides

-23x-23<-2x<-7

Dividing through by -2

-23x-23/-2 < x < 7/2

Solving -23x-23/-2< x

x > -23x-23/-2

-2x < -23x-23

-2x+23x <-23

21x<-23

x<-23/21

The solution to the inequality are x<-23/21 and x<7/2

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.