FIND THE SOLUTION SET FOR 7< 11 - 4x < 2x + 18 , where x belong to Z.
please provide explanation.
Answers
Answer:
see the image for the image
Solution set for combine inequation is C:{-1,0}.
Given:
To find:
- Find the solution set for the inequation.
Solution:
Step 1:
Take 7<11-4x, let the solution set is A.
Subtract -11 from both sides.
or
Change the sign of inequation;
Divide both sides by 4.
Thus,
Solution set ; A={...-2,-1,0}
Step 2:
Take last two expression, let the solution set is B.
Subtract 2x from both sides.
or
Subtract 11 from both sides.
or
Multiply by (-1).
or
Solution set,B={-1,0,1,2...}
Combine solution set is
Thus,
Solution set for combine inequation is C:{-1,0}.
Learn more:
1) solve the following inequality and write the solution set using interval notation
1. -9<2x+7<_19
https://brainly.in/question/11906219
2) Graph the solution set to this inequality. 3x - 11 > 7x + 9
https://brainly.in/question/41637876