Answer:
1. e ≥ -2
2. c ≤ 4
3. x < 1.5 or 1 5/10
Explanation:
1. -3e-10 ≤ -4 => first add 10 to both sides
+10 +10
-3e ≤ 6 => Then divide negative three on both sides.
/-3 /-3
e ≥ -2 => Since, we divided by a negative the sign switches.
2. 8c+4 ≤ 4(c-3) => First, Distribute the 4.
8c+4 ≤ 4c -12 => Next, Subtract 4 on both sides.
8c ≤ 4c -16 => then, subtract 4c on both sides.
-4c 4c
4c ≤ 16 => Finally, you divided 4 on both sides.
/4 /4
c ≤ 4
3. 5(x-1) < 3x +10 -8x => First, you add like terms.
5(x -1) < -5x +10 => Next, you distribute the 5.
5x -5 < -5x +10 => Then, you add five in both sides.
+5 +5
5x < -5x +15 => After that you add -5x in both sides.
+5x +5x
10x < 15 => Finally, you divide 10 in both sides.
/10 /10
x < 1.5 or 1 5/10