Question

Use an inequality symbol (<, >, =, ≤) to compare −3 + 7 _____ −10 − 2

Answer 1

The inequality symbol to compare $-26$ and $54$ is $\boxed{ - 26 < 54}.$

Further explanation:

Given:

The inequality equation is $- 3 + 7\underline {\,\,\,\,\,} - 10 - 2$

The options are as follows,

A. $=$

B.

C. $>$

D. $\leqslant$

Explanation:

The inequality equation is $- 3 + 7\underline {\,\,\,\,\,} - 10 – 2.$

First solve the left hand side of the inequality equation.

$\begin{aligned}A &= - 3 + 7\\&= 4\\\end{aligned}$

Now solve the right hand of the inequality equation.

$\begin{aligned}B&= - 10 - 2\\&= - 12\\\end{aligned}$

$4$ is a positive number and $-12$ is a negative number. Positive numbers are always greater than the negative numbers. Therefore, 4is greater than $-12$.

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

$-12$ is on the left side of the number line and 4 is on the right on the number line.

Therefore, the inequality symbol is

The inequality symbol to compare $-26$ and $54$ is $\boxed{ - 26 < 54}.$

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 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 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.

Answer 2

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