Question

Find the range of real values of x satisfying the inequalities 3x-
2>7 and 4x - 13> 15
O X<7
O X>7
O X>3
x<3​

Answer 1

• let 3x-2>7 be (a)
• let 3x-2>7 be (a)4x-13>15 be (b);
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9therefore,x>3—(result M)
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9therefore,x>3—(result M)now solving (b),4x>15+13
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9therefore,x>3—(result M)now solving (b),4x>15+13i.e 4x>28
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9therefore,x>3—(result M)now solving (b),4x>15+13i.e 4x>28therefore,x>7—(result N)
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9therefore,x>3—(result M)now solving (b),4x>15+13i.e 4x>28therefore,x>7—(result N)by using results M&N,x>7
• let 3x-2>7 be (a)4x-13>15 be (b);solving (a),3x>7+2i.e 3x>9therefore,x>3—(result M)now solving (b),4x>15+13i.e 4x>28therefore,x>7—(result N)by using results M&N,x>7i.e x€(7,∞)