Hello!
To solve algebraic equations or inequalities, we will need to use SADMEP. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents and parentheses. SADMEP is strictly used when solving algebraic equations/inequalities.
2. x - 7 > 10 (add 7 to both sides)
x > 10
3. 3x ≤ 21 (divide both sides by 3)
x ≤ 7
4. 5a - 2 < 18 (add 2 to both sides)
5a < 20 (divide both sides by 5)
a < 4
5. 2t + 8 ≥ -4(t + 1) (use the distributive property)
2t + 8 ≥ -4t - 4 (add 4t to both sides)
6t + 8 ≥ -4 (subtract 8 from both sides)
6t ≥ -12 (divide both sides by 6)
t ≥ -2
<u>Final answers:</u>
- 2. x > 10
- 3. x ≤ 7
- 4. a < 4
- 5. t ≥ -2
