Answer:
2. x > 17
3. x ≤ 7
4. a < 4
5. t ≥ -2
Step-by-step explanation:
2). x - 7 > 10
Now we add 7 on both the side of the inequality [Both the side of sign (>) greater than].
x - 7 + 7 > 10 + 7
x > 17
Answer is x > 17
3). 3x ≤ 21
Now we divide by 3 on both the sides of the inequality.
[tex]\frac{3x}{3}[/tex] ≤ [tex]\frac{21}{3}[/tex]
x ≤ 7
Answer is x ≤ 7
4) 5a - 2 < 18
(5a -2) + 2 < 18 + 2
5a < 20
[tex]\frac{5a}{5}<\frac{20}{5}[/tex]
a < 4
Answer is a < 4
5). 2t + 8 ≥ -4(t + 1)
2t + 8 ≥ -4t - 4
2t + 8 - 8 ≥ -4t - 4 - 8
2t ≥ -4t - 12
2t + 4t ≥ -4t + 4t - 12
6t ≥ -12
t ≥ -[tex]\frac{12}{6}[/tex]
t ≥ -2
Answer is t ≥ -2
