4 years ago

“and” compound inequalities: 10<2+4x<20

Mathematics

1 answer:

Sav [38]4 years ago

6 0

Answer:

2 < x < 4.5

Step-by-step explanation:

10<2+4x<20

We need to isolate x

Subtract 2 from all sides

10-2<2-2+4x<20-2

8<4x<18

Divide all sides by 4

8/4<4x/4<18/4

2 < x < 9/2

2 < x < 4.5

You might be interested in

Order the values from least to greatest. -21/2 -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

kvv77 [185]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the point slope equation for the line that passes through the points (7,-21) (-4,23)

zheka24 [161]

$\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-21})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{23}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{23-(-21)}{-4-7}\implies \cfrac{23+21}{-11}\\\\\\ \cfrac{44}{-11}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-21)=-4(x-7)\implies y+21=-4(x-7)$