Question

Decide if each equation is true or false. Write true or false in each empty box below.EquationTrue or False?[-6+4|=|- 6+ 14112 - 81 = 121 - 18117 + 5|= 171 + 151-3-1=1-3-11- 2 + (-4 | =1-21+

Answer 1

N 1 we have

$\begin{gathered} \lvert-6+4\rvert=\lvert-6\rvert+\lvert4\rvert \\ \lvert-2\rvert=6+4 \\ 2=10 \end{gathered}$

False

N 2

$\begin{gathered} \lvert\lvert2-8\rvert=\lvert2\rvert-\lvert8\rvert \\ \lvert-6\rvert=2-8 \\ 6=-6 \end{gathered}$

False

N 3

$\begin{gathered} \lvert7+5\rvert=\lvert7\rvert+\lvert5\rvert \\ \lvert12\rvert=7+5 \\ 12=12 \end{gathered}$

True

N 4

$\begin{gathered} \lvert-3-1\rvert=\lvert-3\rvert-\lvert1\rvert \\ \lvert-4\rvert=3-1 \\ 4=2 \end{gathered}$

False

N5

$\lvert-2+(-4)\rvert=\lvert-2\rvert+$$\begin{gathered} \lvert-6)\rvert=2 \\ 6=2 \end{gathered}$

False