Assignment:
Solve by graphing. Indicate whether each system is independent, dependent or inconsistent.
Q1. y= 2x-1
x+y= 2
Q2. 2x-3y=12
3y-2x= -12
Q3. 3x-y=4
3x-y=0
Solve each system by the substitution method. Indicate whether each system is independent, dependent or inconsistent
Q4. x-y=3
3x-2y=3
Q5. 3y=x+5
3x-9y= -10
Q6. x=1/8y -1
y=1/4x +39
Solve by the addition method. Indicate whether each system is independent, dependent or inconsistent.
Q7. -3x+y=3
2x-3y=12
Q8. x+3(y-1)=11
2(x-y) +8y=28
Q9. 1/3x - 1/6y = 1/3
1/6x +1/4y= 0
Solve each compound inequality. State the solution set using interval notation and graph it
Q10. x ≤ 0 and x - 6< 3
Q11. 1/3x >2 and 1/4x>2
Q12. -1/2x<6 or 2/3x<4
Solve each absolute value equation and graph the solution set
Q13. |x/2|-5= -1
Q14. |2x-8|=0
Solve each absolute value inequality and graph the solution set.
Q15. |5x-1| ≤ 14
Q16. 1> 1/2|6- x |-3/4
Graph each compound or absolute value inequality
Q17. x + y ≤ 1 or y ≤ 4
Q18. |x-3y|≥9
Provide complete and step by step solution for the question and show calculations and use formulas.