Question

Which list of integers is in order from least to greatest?

$\begin{array}{l}a.-4,-7,0,2\\ b.0,2,-4,-7\\ c.-7,-4,0,2\\ d.2,0,-7,-4\end{array}$

Short answer

The integers which is in increasing order is $-7,-4,0,2$.

Step-by-step solution

Step-1 – Concept of integers

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $...,-4,-3,-2,-1,0,1,2,3,4,...$

Step-2 – Values of x for which -x is less than x

For every value $x$is greater than -$x$because with negative sign all the values are smaller than 0 according to number line so, negative values are shown in the left side of 0 in the number line and positive values are shown in the right side of 0 in the number lines.

Step-3 – Explanation

Least number in the integers will be the starting from highest negative number in the number line to the highest positive number in the number line.

Therefore,

$-7,-4,0,2$is the placed in perfect increasing order from left to right in number line.

Hence option (c) is correct.