Question

a) x is at least 8
Select the correct inequality.
X < 8
A
b) Multiply out 3m (4n+2)
c) Factorise 14x + 35
X > 8
B
X ≤ 8
C
VIC
X ≥ 8
D
Tot

Answer 1

Answer:

$\text{a. }x\ge8\\\\\text{b. }12mn+6m\\\\\text{c. }7(2x+5)$

Step-by-step explanation:

$\text{a. }x\text{ is at least 8.}\\\text{This means, }x\text{ has to be 8 or bigger but cannot be smaller than 8. So the }\\\text{correct option is }x\ge 8.$

$\text{b. Multiply out }3m(4n+2)\\\\\text{Here, the term outside the bracket }3m,\text{ will multiply each terms inside the}\\\text{bracket as follows:}\\\\\textbf{3\textit{m}}(4n+2)\\\textbf{3\textit{m}}\times4n+\textbf{3\textit{m}}\times2\\=12mn+6m$

$\text{c. Factorise }14x+35\\\\\text{This is kind of the reverse of what we did in number b.}\\\\14x+35\\=\textbf{7}\times2x+\textbf{7}\times5\\=\textbf{7}(2x+5)$