Twenty, twenty six, thirty two, etc.
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Step-by-step explanation:
<h3>
<em><u>Given</u></em><em><u>:</u></em></h3>
Length of the rectangle = 6.5 m
Width of the rectangule = 7.3 m
<h3>
<em><u>Then</u></em><em><u>:</u></em></h3>
<u>First</u><u> </u><u>case</u><u>,</u>
Area of the rectangle
= length × width
= 6.5 m × 7.3 m
= <em><u>47.45</u></em><em><u> </u></em><em><u>s</u></em><em><u>q</u></em><em><u>.</u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>i</u></em><em><u>)</u></em>
<u>Second</u><u> </u><u>case</u><u>,</u>
Perimeter of the rectangle
= 2(length + width)
= 2(6.5 + 7.3)m
= 2 × 13.8 m
= <em><u>27</u></em><em><u>.</u></em><em><u>6</u></em><em><u> </u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>ii</u></em><em><u>)</u></em>