Solve the inequality 5(2x+8)<60

Mathematics

2 answers:

Romashka [77]2 years ago

5 0

Answer:

x < 2

Step-by-step explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Temka [501]2 years ago

5 0

Answer:

$\huge\boxed{\bf\:x < 2}$

Step-by-step explanation:

$5(2x + 8) < 60$

Multiply 5 by 2x & 8 in the right hand side of the inequality .

$5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\$

Bring 40 to the other side of the inequality .

$10x + 40 < 60\\10x < 60 - 40\\10x < 20$

Bring 10 to the left side of the inequality .

$10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}$

$\rule{150pt}{2pt}$

You might be interested in

Which graph has a slope of 4/5

Lana71 [14]

Answer: whichever graph that goes up 4 and over 5

Step-by-step explanation:

rise over run, 4 up, 5 right

to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)

4 0

3 years ago

What is the least common denominator of 5/6 and 3/4?

ololo11 [35]

This lcd is also twelve

5 0

3 years ago

A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

LuckyWell [14K]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$