1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natima [27]
3 years ago
13

3x-7>8 and -3x ≥-36 solve the inequality

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Good evening,

Answer:

x > 5

x ≤ 12

Step-by-step explanation:

Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.

On a number line, an inequality sign without the “equal to” is plotted with an open circe.

An inequality sign, with the “equal to” is plotted with a closed circle.

3x - 7> 8

Add seven on both sides, we do this because we want to eliminate the 7 from one side.

3x > 15

Divide both sides by 3, we do this because you want to get rid of the 3 from x.

x > 5

As for the second inequality.

Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.

x ≤ 12

For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.

For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.

A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.

You might be interested in
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
k0ka [10]

<em>Hey</em><em>!</em><em>!</em><em>!</em>

<em>Here's</em><em> </em><em>your</em><em> </em><em>answer</em><em>:</em>

<h3><em><u>Domain</u></em><em><u>:</u></em><em><u>{</u></em><em><u>(</u></em><em>0</em><em>,</em><em>2</em><em>,</em><em>3</em><em>,</em><em>8</em><em>)</em><em>}</em></h3><h3><em>Range</em><em>:</em><em>{</em><em>(</em><em>2</em><em>,</em><em>3</em><em>,</em><em>7</em><em>,</em><em>9</em><em>)</em><em>}</em></h3>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>. </em><em> </em><em> </em><em> </em><em> </em>

<h3><em>have</em><em> </em><em>a</em><em> </em><em>great</em><em> </em><em>day</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em></h3>
5 0
3 years ago
The 7th grade has 159 students. There are twice as many boys in the grade as there are girls.
aleksklad [387]

Answer:

106 boys

Step-by-step explanation:

7th grade = 159 students

Boys to girls ratio:

2:1

Find two thirds of 159:

2/3*159 = 106 boys

159-106= 53 girls

Check:

53*2 = 106

3 0
3 years ago
Read 2 more answers
Let g represent the minimum amount of money Jamie needs to earn to pay his bills. Jamie works part time at an accounting firm. H
inessss [21]

Jamie has earned $80 +75 +145 +250 +80 = $630 so far this week. He needs to earn an additional $875 -630 = $245 to pay his bills.

If Jamie only has one last task, he must earn $245 on that task to pay his bills this week.

7 0
3 years ago
➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.
IgorC [24]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

6 0
3 years ago
2. Which of the following is not true about the
irga5000 [103]
The only one I can say for sure is correct without the picture is A because absolute value is always positive. Hope this helps!
6 0
2 years ago
Other questions:
  • Find 7.4 times the difference between 87 and 24.
    5·1 answer
  • John watered
    10·1 answer
  • Substitute the value x = -1 into the first equation and solve for y.
    13·1 answer
  • What equation results from completing the squre and then factoring x^2+10=15
    7·1 answer
  • Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102
    8·1 answer
  • Please help me asap!! anything helps I'm really lost in this question if you know part of the question pleas answer. thank you!&
    14·1 answer
  • 7-3x+2= please answer​
    10·2 answers
  • Help again 14 more questions
    15·1 answer
  • Answer pls and thank u !
    10·1 answer
  • Just answer the question in the image
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!