Answer:
1) True for inequality B.
2) True for inequality A.
3) True for inequality B.
4) True for both inequality A and inequality B.
Step-by-step explanation:
Solve each inequality.
Inequality A:
[tex] -5y + 2 \le 14 [/tex]
Subtract 2 from both sides.
[tex] -5y \le 12 [/tex]
Divide both sides by -5. Remember that the inequality sign changes direction.
[tex] y \ge -\dfrac{12}{5} [/tex]
[tex] y \ge -2.4 [/tex]
Inequality B:
[tex] \frac{1}{4}(3y - 6) \le 5 [/tex]
Multiply both sides by 4.
[tex] 3y - 6 \le 20 [/tex]
Add 6 to both sides.
[tex] 3y \le 26 [/tex]
Divide both sides by 6.
[tex] y \le \dfrac{26}{3} [/tex]
[tex] y \le 8 \dfrac{2}{3} [/tex]
The four answers on the right side are:
1) True for inequality B.
2) True for inequality A.
3) True for inequality B.
4) True for both inequality A and inequality B.
