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Rainbow [258]
3 years ago
7

Solve the inequalities for x, and match each solution to its number line graph.Two less than 3/2 of a number (x) is no more than

5 1/2 . The sum of two times a number (x) and -2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13. Four added to 3 times a number (x) is less than 19. Pairs Number Line Graph Inequality
Mathematics
2 answers:
melamori03 [73]3 years ago
8 0
I do not understand your question please explain further for me to answer
artcher [175]3 years ago
6 0

Answer:

(i)   x\leq 5

(ii)   x\geq 5

(iii)  x>5

(iv)  x

Step-by-step explanation:

(i) Two less than \frac{3}{2} of a number (x) is no more than 5\frac{1}{2},

⇒ Two less than \frac{3}{2} of x is less than equal to 5\frac{1}{2},

\implies \frac{3}{2}x-2\leq 5\frac{1}{2}

\frac{3x-4}{2}\leq \frac{11}{2}

3x-4\leq 11

3x\leq 15

\implies x\leq 5

(ii) The sum of two times a number (x) and -2 is at least 8,

\implies 2x+(-2) \geq 8

2x-2\geq 8

2x\geq 10

x\geq 5

(iii) Seven subtracted from 4 times a number (x) is more than 13,

\implies 4x-7>13

4x>20

\implies x>5

(iv) Four added to 3 times a number (x) is less than 19.

3x+4

3x

\implies x

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