Solve the inequality 2n -3 ≥ 5 and graph the solutions
1 answer:
Answer: n ≥ 4
Step-by-step explanation: To solve for <em>x</em> in this inequality, your goal is the same as it would be if you were solving an equation which is to get <em>x</em> by itself on one side of the inequality.
Since 3 is being subtracted from 2n, add 3 to both sides of the inequality to get 2n ≥ 8. Now since <em>n</em> is being multiplied by 2, we need to divide by 2 on both sides of the inequality to get <em>n ≥ 4</em>.
Our next task is to graph <em>n ≥ 4 </em>on a number line and to do that, we start with a closed dot at 4. The reason we use a closed dot at 4 is because not only is <em>n</em> greater than 4 but it's also equal to 4. Next we draw an arrow going to the right on our number line to represent all numbers greater than 4.
When graphed, it should look something like the image attached.
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<u>Answer:</u>
(i) Total cost of the flat is Rs. 540000.
(ii) Expenditure incurred on labour is Rs. 150000
<u>Step-by-step explanation:</u>
According to the question, cement cost is Rs. 112500, which represents 75° in the pie chart.
(i) The total cost of the flat is represented by the total 360° in the pie chart.
∴ Using unitary method
75° represents Rs. 112500
⇒ 360° represents = × 360
= Rs. 540000
∴ Total cost of flat = Rs. 540000
(ii) Similarly, to calculate the cost of labour, represented by 100° in the pie chart, we can use the unitary method:
75° represents Rs. 112500
⇒ 100° represents = × 100
= Rs. 150000
∴ Cost of labour = Rs. 150000