Please help me to get this answer :-9x-7 ≤ 25+3x
Answers
Step-by-step explanation:
-9x-7≤25+3x
-7-25≤3x+9x
-32≤12x
-32\12≤x
x≥-8\3
x < 16/3 , left of 16/3 is the solution for 9x-7<25+3x
Given:
- 9x-7<25+3x
To Find:
- Represent the solution of number line
Solution:
9x-7 <25+3x
Step 1 :
Add 7 on both side
9x-7 + 7<25+3x + 7
=> 9x < 32 + 3x
Step 2 :
Subtract 3x on both sides
9x-7 + 7<25+3x + 7
=> 9x -3x < 32 + 3x - 3x
=> 6x < 32
Step 3 :
Divide by 6 on both sides
x < 32/6
Reduce the fraction.
=> x < 16/3
x ∈ (-∞ , 16/3)
Draw a line and mark some points at equal distance on it as shown in the figure below Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3 and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on
Divide two consecutive numbers in 3 equal parts
Dot on 16/3 is not solid as its not part of solution
Hence left of 16/3 is the solution:
