\[\begin{array}{*{35}{l}} 25\text{ }\text{ }4x\text{ }\le \text{ }16 \\ -\text{ }4x\text{ }\le \text{ }16\text{ }\text{ }25 \\ -\text{ }4x\text{ }\le \text{ }-\text{ }9 \\ x\text{ }\ge \text{...
Solve the inequation: 3 – 2x ≥ x – 12 given that x ∈ N.
\[\begin{array}{*{35}{l}} 3\text{ }\text{ }2x\text{ }\ge \text{ }x\text{ }\text{ }12 \\ -\text{ }2x\text{ }\text{ }x\text{ }\ge \text{ }-\text{ }12\text{ }\text{ }3 \\ \end{array}\]...
If the replacement set is the set of whole numbers, solve: (i)x – 3/2 < 3/2 – x (ii) 18 ≤ 3x – 2
(i) \[x\text{ }\text{ }3/2\text{ }<\text{ }3/2\text{ }\text{ }x\] \[\begin{array}{*{35}{l}} x\text{ }+\text{ }x\text{ }<\text{ }3/2\text{ }+\text{ }3/2 \\ 2x\text{ }<\text{ }3 \\ x\text{...
If the replacement set is the set of whole numbers, solve: (i) 8 – x > 5 (ii) 7 – 3x ≥ -1/2
(i) \[8\text{ }\text{ }x\text{ }>\text{ }5\] \[\begin{array}{*{35}{l}} \text{ }x\text{ }>\text{ }5\text{ }\text{ }8 \\ \text{ }x\text{ }>\text{ }-\text{ }3 \\ x\text{ }<\text{ }3 \\...
If the replacement set is the set of whole numbers, solve: (i) x + 7 ≤ 11 (ii) 3x – 1 > 8
(I) \[x\text{ }+\text{ }7\text{ }\le \text{ }11\] \[\begin{array}{*{35}{l}} x\text{ }\le \text{ }11\text{ }\text{ }7 \\ x\text{ }\le \text{ }4 \\ \end{array}\] As the substitution set = \[W\](set...
If x ∈ N, find the solution set of inequations. (i) 5x + 3 ≤ 2x + 18 (ii) 3x – 2 < 19 – 4x
(I) \[5x\text{ }+\text{ }3\text{ }\le \text{ }2x\text{ }+\text{ }18\] \[\begin{array}{*{35}{l}} 5x\text{ }\text{ }2x\text{ }\le \text{ }18\text{ }\text{ }3 \\ 3x\text{ }\le \text{ }15 \\ x\text{...
State whether the following statements are true or false. (i)If a – c > b – d, then a + d > b + c (ii) If a 0, then a – c > b – c Where a, b, c and d are real numbers and c ≠ 0.
(i) Given proclamation is valid. As \[a\text{ }\text{ }c\text{ }>\text{ }b\text{ }\text{ }d\Rightarrow a\text{ }+\text{ }d\text{ }>\text{ }b\text{ }+\text{ }c\] (ii) Given proclamation is...
State whether the following statements are true or false. (i) If a bc (ii) If a > b, then a/c < b/c Where a, b, c and d are real numbers and c ≠ 0.
(i) Given articulation is bogus. (As per rule\[3\]) (ii) Given articulation is bogus. (As per rule\[3\])
State whether the following statements are true or false. (i) a < b, then a – c b, then a + c > b + c Where a, b, c and d are real numbers and c ≠ 0.
(I) Given articulation is valid. (Taking away equivalents on the two sides won't change the disparity) (ii) Given articulation is valid. (Including approaches the two sides won't change the...
State, true or false: (i)2x ≤ -7 ⇒ 2x/-4 ≥ -7/-4 (ii) 7 > 4 ⇒ 1/7 < 1/5
(i) Given proclamation is valid. (as per Rule\[4\]) (ii) Given proclamation is valid. (as indicated by Rule\[6\])
State, true or false: (i) x y (ii) -5x ≥ 15 ⇒ x ≥ -3
(I) Given articulation is valid. (as indicated by Rule\[5\]) (ii) Given proclamation is bogus. (as indicated by Rule\[4\])