Respuesta :

First, we need to find out what -3 + 7 is. -3 + 7 = 4. The reason that we got 4 is because we started at -3 and went forward 7 times. When we went forward 7 times, we landed on 4. Next, we need to find out out what -10 - 2 is. -10 - 2 is -12. The reason we got -12 is simple. There is a little method that I like to call keep,change, opposite. First, we keep -10 as is. Next, we switch - to a + sign. Finally, what is the opposite of 2. You guessed it, it's -2. When you put all the pieces together, it is -10 + (-2)= -12. But we are not done yet, four is greater than -12 because -12 is a negative number while 4 is a positive. So, the answer would be "C"
Hope this helped

The inequality symbol to compare [tex]-26[/tex] and [tex]54[/tex] is [tex]\boxed{ - 26 < 54}.[/tex]

Further explanation:

Given:

The inequality equation is [tex]- 3 + 7\underline {\,\,\,\,\,}  - 10 - 2[/tex]

The options are as follows,

A. [tex]=[/tex]

B. [tex]<[/tex]

C. [tex]>[/tex]

D. [tex]\leqslant[/tex]

Explanation:

The inequality equation is [tex]- 3 + 7\underline {\,\,\,\,\,}  - 10 – 2.[/tex]

First solve the left hand side of the inequality equation.

[tex]\begin{aligned}A &= - 3 + 7\\&= 4\\\end{aligned}[/tex]

Now solve the right hand of the inequality equation.

[tex]\begin{aligned}B&= - 10 - 2\\&= - 12\\\end{aligned}[/tex]

[tex]4[/tex] is a positive number and [tex]-12[/tex] is a negative number. Positive numbers are always greater than the negative numbers. Therefore, 4is greater than [tex]-12[/tex].

Negative numbers are on the left of zero and positive numbers are on right of zero.

[tex]-12[/tex] is on the left side of the number line and 4 is on the right on the number line.

Therefore, the inequality symbol is [tex]<.[/tex]

The inequality symbol to compare [tex]-26[/tex] and [tex]54[/tex] is [tex]\boxed{ - 26 < 54}.[/tex]

Option A is not correct.

Option B is not correct.

Option C is correct.

Option D is not correct.

Kindly refer to the image attached below.

Learn more:

  1. Learn more about inverse of the function https://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: in equality, inequality symbol, greater than, less than, -26, 54, =, numbers, real numbers, negative numbers, positive numbers, compare, whole number natural number, number line, left of zero, right of zero.